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345770054718 = 231123759218171
BaseRepresentation
bin1010000100000011000…
…00000101010000111110
31020001111022100201021220
411002001200011100332
521131114113222333
6422502232134210
733660334654164
oct5020140052076
91201438321256
10345770054718
111237051aa900
1257019837366
13267b543981a
1412a41b83234
158edaa0b8b3
hex508180543e

345770054718 has 96 divisors (see below), whose sum is σ = 793901727360. Its totient is φ = 100218571200.

The previous prime is 345770054699. The next prime is 345770054719. The reversal of 345770054718 is 817450077543.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345770054719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475773 + ... + 1693943.

It is an arithmetic number, because the mean of its divisors is an integer number (8269809660).

Almost surely, 2345770054718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345770054718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396950863680).

345770054718 is an abundant number, since it is smaller than the sum of its proper divisors (448131672642).

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

345770054718 is a wasteful number, since it uses less digits than its factorization.

345770054718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218294 (or 218283 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 345770054718 in words is "three hundred forty-five billion, seven hundred seventy million, fifty-four thousand, seven hundred eighteen".

Divisors: 1 2 3 6 11 22 33 37 59 66 74 111 118 121 177 222 242 354 363 407 649 726 814 1221 1298 1947 2183 2442 3894 4366 4477 6549 7139 8954 13098 13431 14278 21417 24013 26862 42834 48026 72039 144078 218171 264143 436342 528286 654513 792429 1309026 1584858 2399881 4799762 7199643 8072327 12872089 14399286 16144654 24216981 25744178 26398691 38616267 48433962 52797382 77232534 79196073 88795597 141592979 158392146 177591194 266386791 283185958 424778937 476267293 532773582 849557874 952534586 976751567 1428801879 1557522769 1953503134 2857603758 2930254701 3115045538 4672568307 5238940223 5860509402 9345136614 10477880446 15716820669 31433641338 57628342453 115256684906 172885027359 345770054718