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145761056411516 = 227131789223835921
BaseRepresentation
bin100001001001000110100011…
…111111010100111101111100
3201010002121202122021010122222
4201021012203333110331330
5123101122120420132031
61234001412131424512
742462613600563350
oct4111064377247574
9633077678233588
10145761056411516
1142497a0a3a8027
1214421576a55138
1363442934ca740
1427dcc30c61460
1511cb8a613de7b
hex8491a3fd4f7c

145761056411516 has 48 divisors (see below), whose sum is σ = 314122379497920. Its totient is φ = 57631481994240.

The previous prime is 145761056411507. The next prime is 145761056411561. The reversal of 145761056411516 is 615114650167541.

It is a super-2 number, since 2×1457610564115162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111266765 + ... + 112569156.

It is an arithmetic number, because the mean of its divisors is an integer number (6544216239540).

Almost surely, 2145761056411516 is an apocalyptic number.

It is an amenable number.

145761056411516 is an abundant number, since it is smaller than the sum of its proper divisors (168361323086404).

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

145761056411516 is a wasteful number, since it uses less digits than its factorization.

145761056411516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223837734 (or 223837732 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 53.

The spelling of 145761056411516 in words is "one hundred forty-five trillion, seven hundred sixty-one billion, fifty-six million, four hundred eleven thousand, five hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 1789 3578 7156 12523 23257 25046 46514 50092 93028 162799 325598 651196 223835921 447671842 895343684 1566851447 2909866973 3133702894 5819733946 6267405788 11639467892 20369068811 40738137622 81476275244 400442462669 800884925338 1601769850676 2803097238683 5205752014697 5606194477366 10411504029394 11212388954732 20823008058788 36440264102879 72880528205758 145761056411516