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45956997270 = 2335198958479
BaseRepresentation
bin101010110011010000…
…000010000010010110
311101121211012100112000
4222303100002002112
51223104442403040
633040133540130
73214600013532
oct526320020226
9141554170460
1045956997270
1118543588288
128aa6aa4646
134445272b12
14231d7c4bc2
1512de978130
hexab3402096

45956997270 has 64 divisors (see below), whose sum is σ = 129002112000. Its totient is φ = 11610187488.

The previous prime is 45956997193. The next prime is 45956997287. The reversal of 45956997270 is 7279965954.

45956997270 is a `hidden beast` number, since 45 + 9 + 569 + 9 + 7 + 27 + 0 = 666.

It is a super-2 number, since 2×459569972702 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45956997198 and 45956997207.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4474110 + ... + 4484369.

It is an arithmetic number, because the mean of its divisors is an integer number (2015658000).

Almost surely, 245956997270 is an apocalyptic number.

45956997270 is an abundant number, since it is smaller than the sum of its proper divisors (83045114730).

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

45956997270 is a wasteful number, since it uses less digits than its factorization.

45956997270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958514 (or 8958508 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 45956997270 in words is "forty-five billion, nine hundred fifty-six million, nine hundred ninety-seven thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 8958479 17916958 26875437 44792395 53750874 80626311 89584790 134377185 161252622 170211101 241878933 268754370 340422202 403131555 483757866 510633303 806263110 851055505 1021266606 1209394665 1531899909 1702111010 2418789330 2553166515 3063799818 4595699727 5106333030 7659499545 9191399454 15318999090 22978498635 45956997270