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45314043632 = 241113144713687
BaseRepresentation
bin101010001100111011…
…010110111011110000
311022222000100220221022
4222030323112323300
51220300343344012
632452245115012
73162632005244
oct521473267360
9138860326838
1045314043632
1118243661740
1289476b8a68
134371cb8190
14229c25a424
1512a32c3472
hexa8ced6ef0

45314043632 has 80 divisors (see below), whose sum is σ = 103223726592. Its totient is φ = 18998357760.

The previous prime is 45314043601. The next prime is 45314043647. The reversal of 45314043632 is 23634041354.

It is a junction number, because it is equal to n+sod(n) for n = 45314043592 and 45314043601.

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, 3303893 + ... + 3317579.

Almost surely, 245314043632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45314043632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51611863296).

45314043632 is an abundant number, since it is smaller than the sum of its proper divisors (57909682960).

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

45314043632 is a wasteful number, since it uses less digits than its factorization.

45314043632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166 (or 15160 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 45314043632 its reverse (23634041354), we get a palindrome (68948084986).

The spelling of 45314043632 in words is "forty-five billion, three hundred fourteen million, forty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 1447 2288 2894 5788 11576 13687 15917 18811 23152 27374 31834 37622 54748 63668 75244 109496 127336 150488 150557 177931 206921 218992 254672 300976 301114 355862 413842 602228 711724 827684 1204456 1423448 1655368 1957241 2408912 2846896 3310736 3914482 7828964 15657928 19805089 31315856 39610178 79220356 158440712 217855979 257466157 316881424 435711958 514932314 871423916 1029864628 1742847832 2059729256 2832127727 3485695664 4119458512 5664255454 11328510908 22657021816 45314043632