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76725213942272 = 297167229559781
BaseRepresentation
bin10001011100011111111011…
…000111110101001000000000
3101001122212012002010200212112
4101130133323013311020000
540024031214232123042
6431103024322114452
722106133216655430
oct2134377307651000
9331585162120775
1076725213942272
11224a0a87059195
128731a3aaaba28
1333a72061662ac
1414d373d4b42c0
158d0beb3b8982
hex45c7fb1f5200

76725213942272 has 160 divisors (see below), whose sum is σ = 177019727512320. Its totient is φ = 32542546083840.

The previous prime is 76725213942271. The next prime is 76725213942313. The reversal of 76725213942272 is 27224931252767.

76725213942272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (76725213942271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136783022 + ... + 137342802.

It is an arithmetic number, because the mean of its divisors is an integer number (1106373296952).

Almost surely, 276725213942272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76725213942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88509863756160).

76725213942272 is an abundant number, since it is smaller than the sum of its proper divisors (100294513570048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76725213942272 is a wasteful number, since it uses less digits than its factorization.

76725213942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560202 (or 560186 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 59.

The spelling of 76725213942272 in words is "seventy-six trillion, seven hundred twenty-five billion, two hundred thirteen million, nine hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 167 224 229 256 334 448 458 512 668 896 916 1169 1336 1603 1792 1832 2338 2672 3206 3584 3664 4676 5344 6412 7328 9352 10688 12824 14656 18704 21376 25648 29312 37408 38243 42752 51296 58624 74816 76486 85504 102592 117248 149632 152972 205184 267701 299264 305944 410368 535402 559781 598528 611888 820736 1070804 1119562 1223776 2141608 2239124 2447552 3918467 4283216 4478248 4895104 7836934 8566432 8956496 9790208 15673868 17132864 17912992 19580416 31347736 34265728 35825984 62695472 68531456 71651968 93483427 125390944 128189849 137062912 143303936 186966854 250781888 256379698 286607872 373933708 501563776 512759396 654383989 747867416 897328943 1003127552 1025518792 1308767978 1495734832 1794657886 2006255104 2051037584 2617535956 2991469664 3589315772 4102075168 5235071912 5982939328 7178631544 8204150336 10470143824 11965878656 14357263088 16408300672 20940287648 21407704783 23931757312 28714526176 32816601344 41880575296 42815409566 47863514624 57429052352 65633202688 83761150592 85630819132 114858104704 149853933481 167522301184 171261638264 229716209408 299707866962 335044602368 342523276528 459432418816 599415733924 685046553056 1198831467848 1370093106112 2397662935696 2740186212224 4795325871392 5480372424448 9590651742784 10960744848896 19181303485568 38362606971136 76725213942272