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72416246157045 = 3257613768735163
BaseRepresentation
bin10000011101110010111000…
…101000001100111011110101
3100111101220222201001021112200
4100131302320220030323311
533442431433004011140
6414003321512135113
721152621042060340
oct2035627050147365
9314356881037480
1072416246157045
112108a61508257a
128156906397499
133153a9065aa8b
1413c4d72005457
15858aa57d8030
hex41dcb8a0cef5

72416246157045 has 48 divisors (see below), whose sum is σ = 145804826024832. Its totient is φ = 32561871799680.

The previous prime is 72416246157041. The next prime is 72416246157103. The reversal of 72416246157045 is 54075164261427.

72416246157045 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 6 + 2 + 4 + 61 + 570 + 4 + 5 = 666.

It is not a de Polignac number, because 72416246157045 - 22 = 72416246157041 is a prime.

It is a super-2 number, since 2×724162461570452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72416246156982 and 72416246157000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416246157041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1884348367 + ... + 1884386796.

It is an arithmetic number, because the mean of its divisors is an integer number (3037600542184).

Almost surely, 272416246157045 is an apocalyptic number.

It is an amenable number.

72416246157045 is an abundant number, since it is smaller than the sum of its proper divisors (73388579867787).

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

72416246157045 is a wasteful number, since it uses less digits than its factorization.

72416246157045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768735242 (or 3768735239 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 72416246157045 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-six million, one hundred fifty-seven thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 61 63 105 183 305 315 427 549 915 1281 2135 2745 3843 6405 19215 3768735163 11306205489 18843675815 26381146141 33918616467 56531027445 79143438423 131905730705 169593082335 229892844943 237430315269 395717192115 689678534829 1149464224715 1187151576345 1609249914601 2069035604487 3448392674145 4827749743803 8046249573005 10345178022435 14483249231409 24138748719015 72416246157045