Search a number
-
+
53712267954380 = 22573119471635617
BaseRepresentation
bin11000011011001110111001…
…01001101100100011001100
321001011211202022020120222122
430031213130221230203030
524020010211044020010
6310123024131032112
714212404033406460
oct1415473451544314
9231154668216878
1053712267954380
1116129276a91132
126035969a3b638
1323c80782122c9
14d3998ac544a0
156322a54aa855
hex30d9dca6c8cc

53712267954380 has 96 divisors (see below), whose sum is σ = 133074855739392. Its totient is φ = 17820638668800.

The previous prime is 53712267954341. The next prime is 53712267954403. The reversal of 53712267954380 is 8345976221735.

53712267954380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×537122679543802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84186332 + ... + 84821948.

It is an arithmetic number, because the mean of its divisors is an integer number (1386196413952).

It is a 2-persistent number, because it is pandigital, and so is 2⋅53712267954380 = 107424535908760, but 3⋅53712267954380 = 161136803863140 is not.

Almost surely, 253712267954380 is an apocalyptic number.

It is an amenable number.

53712267954380 is an abundant number, since it is smaller than the sum of its proper divisors (79362587785012).

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

53712267954380 is a wasteful number, since it uses less digits than its factorization.

53712267954380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655135 (or 655133 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 62.

The spelling of 53712267954380 in words is "fifty-three trillion, seven hundred twelve billion, two hundred sixty-seven million, nine hundred fifty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 19471 38942 77884 97355 136297 194710 272594 389420 545188 603601 635617 681485 1207202 1271234 1362970 2414404 2542468 2725940 3018005 3178085 4225207 4449319 6036010 6356170 8450414 8898638 12072020 12712340 16900828 17797276 19704127 21126035 22246595 39408254 42252070 44493190 78816508 84504140 88986380 98520635 137928889 197041270 275857778 394082540 551715556 689644445 1379288890 2758577780 12376098607 24752197214 49504394428 61880493035 86632690249 123760986070 173265380498 247521972140 346530760996 383659056817 433163451245 767318113634 866326902490 1534636227268 1732653804980 1918295284085 2685613397719 3836590568170 5371226795438 7673181136340 10742453590876 13428066988595 26856133977190 53712267954380