Search a number
-
+
45865413972 = 2233760668537
BaseRepresentation
bin101010101101110010…
…101010110101010100
311101101102212102212000
4222231302222311110
51222413021221342
633023102555300
73212405405040
oct525562526524
9141342772760
1045865413972
11184a6915404
128a80298b30
13442c2b8311
142311585020
1512d68d744c
hexaadcaad54

45865413972 has 48 divisors (see below), whose sum is σ = 135897525120. Its totient is φ = 13104403776.

The previous prime is 45865413949. The next prime is 45865413989. The reversal of 45865413972 is 27931456854.

It is a happy number.

45865413972 is a `hidden beast` number, since 4 + 5 + 8 + 6 + 541 + 3 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30333513 + ... + 30335024.

It is an arithmetic number, because the mean of its divisors is an integer number (2831198440).

Almost surely, 245865413972 is an apocalyptic number.

45865413972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45865413972 is an abundant number, since it is smaller than the sum of its proper divisors (90032111148).

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

45865413972 is a wasteful number, since it uses less digits than its factorization.

45865413972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60668557 (or 60668549 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 45865413972 in words is "forty-five billion, eight hundred sixty-five million, four hundred thirteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 60668537 121337074 182005611 242674148 364011222 424679759 546016833 728022444 849359518 1092033666 1274039277 1638050499 1698719036 2184067332 2548078554 3276100998 3822117831 5096157108 6552201996 7644235662 11466353493 15288471324 22932706986 45865413972