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76381290325000 = 23555995100587
BaseRepresentation
bin10001010111011111100111…
…101011010110010000001000
3101000102222110110011201120201
4101113133213223112100020
540002412340310400000
6430241025205301544
722042236402314623
oct2127374753262010
9330388413151521
1076381290325000
112237913a150151
1286972577048b4
13338095642850b
1414c0c34a54dba
158c6cbca3996a
hex4577e7ad6408

76381290325000 has 96 divisors (see below), whose sum is σ = 179306070552000. Its totient is φ = 30501504280000.

The previous prime is 76381290324973. The next prime is 76381290325027. The reversal of 76381290325000 is 52309218367.

It is an interprime number because it is at equal distance from previous prime (76381290324973) and next prime (76381290325027).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12424707 + ... + 17525293.

It is an arithmetic number, because the mean of its divisors is an integer number (1867771568250).

Almost surely, 276381290325000 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 76381290325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89653035276000).

76381290325000 is an abundant number, since it is smaller than the sum of its proper divisors (102924780227000).

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

76381290325000 is an equidigital number, since it uses as much as digits as its factorization.

76381290325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101217 (or 5101193 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 76381290325000 in words is "seventy-six trillion, three hundred eighty-one billion, two hundred ninety million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 599 625 1000 1198 1250 2396 2500 2995 3125 4792 5000 5990 6250 11980 12500 14975 23960 25000 29950 59900 74875 119800 149750 299500 374375 599000 748750 1497500 1871875 2995000 3743750 5100587 7487500 10201174 14975000 20402348 25502935 40804696 51005870 102011740 127514675 204023480 255029350 510058700 637573375 1020117400 1275146750 2550293500 3055251613 3187866875 5100587000 6110503226 6375733750 12221006452 12751467500 15276258065 15939334375 24442012904 25502935000 30552516130 31878668750 61105032260 63757337500 76381290325 122210064520 127514675000 152762580650 305525161300 381906451625 611050322600 763812903250 1527625806500 1909532258125 3055251613000 3819064516250 7638129032500 9547661290625 15276258065000 19095322581250 38190645162500 76381290325000