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45314514432 = 293211893989
BaseRepresentation
bin101010001100111101…
…001001111000000000
311022222001020211202100
4222030331021320000
51220301003430212
632452303150400
73162636005655
oct521475117000
9138861224670
1045314514432
1118243953430
1289478a5400
134372121565
14229c33dc2c
1512a3367bdc
hexa8cf49e00

45314514432 has 120 divisors (see below), whose sum is σ = 142670076120. Its totient is φ = 13731655680.

The previous prime is 45314514409. The next prime is 45314514433. The reversal of 45314514432 is 23441541354.

45314514432 is a `hidden beast` number, since 4 + 531 + 4 + 51 + 44 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45314514433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396307 + ... + 497682.

It is an arithmetic number, because the mean of its divisors is an integer number (1188917301).

Almost surely, 245314514432 is an apocalyptic number.

It is an amenable number.

45314514432 is an abundant number, since it is smaller than the sum of its proper divisors (97355561688).

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

45314514432 is a wasteful number, since it uses less digits than its factorization.

45314514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894024 (or 894005 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 45314514432 in words is "forty-five billion, three hundred fourteen million, five hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 50688 893989 1787978 2681967 3575956 5363934 7151912 8045901 9833879 10727868 14303824 16091802 19667758 21455736 28607648 29501637 32183604 39335516 42911472 57215296 59003274 64367208 78671032 85822944 88504911 114430592 118006548 128734416 157342064 171645888 177009822 228861184 236013096 257468832 314684128 343291776 354019644 457722368 472026192 514937664 629368256 686583552 708039288 944052384 1029875328 1258736512 1373167104 1416078576 1888104768 2059750656 2517473024 2832157152 3776209536 4119501312 5034946048 5664314304 7552419072 11328628608 15104838144 22657257216 45314514432