Search a number
-
+
745017310611516 = 223131810158502603
BaseRepresentation
bin1010100101100101101101110…
…0001001101000100000111100
310121200212221220100020000112110
42221121123130021220200330
51240122330423004032031
611200304121054334020
7312632503323146505
oct25131333411504074
93550787810200473
10745017310611516
111a6427081308358
126b685419aba310
1325c92aa5749777
14d1d905cd57bac
155b1e9239aac46
hex2a596dc26883c

745017310611516 has 48 divisors (see below), whose sum is σ = 1751860008759168. Its totient is φ = 246412959624000.

The previous prime is 745017310611383. The next prime is 745017310611521. The reversal of 745017310611516 is 615116013710547.

It is a super-2 number, since 2×7450173106115162 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16516530 + ... + 41986073.

It is an arithmetic number, because the mean of its divisors is an integer number (36497083515816).

Almost surely, 2745017310611516 is an apocalyptic number.

It is an amenable number.

745017310611516 is an abundant number, since it is smaller than the sum of its proper divisors (1006842698147652).

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

745017310611516 is a wasteful number, since it uses less digits than its factorization.

745017310611516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58510842 (or 58510840 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The spelling of 745017310611516 in words is "seven hundred forty-five trillion, seventeen billion, three hundred ten million, six hundred eleven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 131 262 393 524 786 1572 8101 16202 24303 32404 48606 97212 1061231 2122462 3183693 4244924 6367386 12734772 58502603 117005206 175507809 234010412 351015618 702031236 7663840993 15327681986 22991522979 30655363972 45983045958 91966091916 473929586903 947859173806 1421788760709 1895718347612 2843577521418 5687155042836 62084775884293 124169551768586 186254327652879 248339103537172 372508655305758 745017310611516