Search a number
-
+
47380763261040 = 24351119944592569
BaseRepresentation
bin10101100010111101100011…
…00100000011100001110000
320012202120000212010202202020
422301132301210003201300
522202241300343323130
6244434231103551440
712660101324451006
oct1261366144034160
9205676025122666
1047380763261040
1114108083713040
1253928618bb580
132058caa015241
14b9b353b12a76
155727380b4e10
hex2b17b1903870

47380763261040 has 160 divisors (see below), whose sum is σ = 168666449299200. Its totient is φ = 10881706383360.

The previous prime is 47380763260991. The next prime is 47380763261047. The reversal of 47380763261040 is 4016236708374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47380763261047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472246125 + ... + 472346444.

It is an arithmetic number, because the mean of its divisors is an integer number (1054165308120).

Almost surely, 247380763261040 is an apocalyptic number.

47380763261040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47380763261040 is an abundant number, since it is smaller than the sum of its proper divisors (121285686038160).

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

47380763261040 is a wasteful number, since it uses less digits than its factorization.

47380763261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944592615 (or 944592609 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 47380763261040 in words is "forty-seven trillion, three hundred eighty billion, seven hundred sixty-three million, two hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 944592569 1889185138 2833777707 3778370276 4722962845 5667555414 7556740552 9445925690 10390518259 11335110828 14168888535 15113481104 17947258811 18891851380 20781036518 22670221656 28337777070 31171554777 35894517622 37783702760 41562073036 45340443312 51952591295 53841776433 56675554140 62343109554 71789035244 75567405520 83124146072 89736294055 103905182590 107683552866 113351108280 124686219108 143578070488 155857773885 166248292144 179472588110 197419846921 207810365180 215367105732 226702216560 249372438216 269208882165 287156140976 311715547770 358945176220 394839693842 415620730360 430734211464 498744876432 538417764330 592259540763 623431095540 717890352440 789679387684 831241460720 861468422928 987099234605 1076835528660 1184519081526 1246862191080 1435780704880 1579358775368 1974198469210 2153671057320 2369038163052 2493724382160 2961297703815 3158717550736 3948396938420 4307342114640 4738076326104 5922595407630 7896793876840 9476152652208 11845190815260 15793587753680 23690381630520 47380763261040