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945639096768 = 26322337046071
BaseRepresentation
bin11011100001011000111…
…10111000000111000000
310100101212012210102020200
431300230132320013000
5110443132102044033
62002230503405200
7125214550461462
oct15605436700700
93311765712220
10945639096768
11335052687793
12133330753800
136b233c04502
1433aaa898132
15198e910c013
hexdc2c7b81c0

945639096768 has 84 divisors (see below), whose sum is σ = 2722137180048. Its totient is φ = 313860142080.

The previous prime is 945639096749. The next prime is 945639096781. The reversal of 945639096768 is 867690936549.

945639096768 is a `hidden beast` number, since 94 + 5 + 6 + 390 + 96 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 945639096696 and 945639096705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3388828 + ... + 3657243.

Almost surely, 2945639096768 is an apocalyptic number.

It is an amenable number.

945639096768 is an abundant number, since it is smaller than the sum of its proper divisors (1776498083280).

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

945639096768 is a wasteful number, since it uses less digits than its factorization.

945639096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7046322 (or 7046309 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 945639096768 in words is "nine hundred forty-five billion, six hundred thirty-nine million, ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 233 288 466 576 699 932 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 14912 16776 22368 33552 44736 67104 134208 7046071 14092142 21138213 28184284 42276426 56368568 63414639 84552852 112737136 126829278 169105704 225474272 253658556 338211408 450948544 507317112 676422816 1014634224 1352845632 1641734543 2029268448 3283469086 4058536896 4925203629 6566938172 9850407258 13133876344 14775610887 19700814516 26267752688 29551221774 39401629032 52535505376 59102443548 78803258064 105071010752 118204887096 157606516128 236409774192 315213032256 472819548384 945639096768