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974199664368 = 243271465365957
BaseRepresentation
bin11100010110100101101…
…00110010111011110000
310110010120122112120120200
432023102310302323300
5111430130103224433
62023312515435200
7130245401342430
oct16132264627360
93403518476520
10974199664368
11346179349967
121389815b5b00
1370b35cc2758
1435219a882c0
151a51b6a2613
hexe2d2d32ef0

974199664368 has 120 divisors (see below), whose sum is σ = 3116152467168. Its totient is φ = 278319545856.

The previous prime is 974199664357. The next prime is 974199664423. The reversal of 974199664368 is 863466991479.

974199664368 is a `hidden beast` number, since 9 + 7 + 41 + 99 + 66 + 436 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 974199664296 and 974199664305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14737246 + ... + 14803202.

Almost surely, 2974199664368 is an apocalyptic number.

It is an amenable number.

974199664368 is an abundant number, since it is smaller than the sum of its proper divisors (2141952802800).

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

974199664368 is a wasteful number, since it uses less digits than its factorization.

974199664368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80631 (or 80622 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 974199664368 in words is "nine hundred seventy-four billion, one hundred ninety-nine million, six hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 14653 29306 43959 58612 65957 87918 102571 117224 131877 131914 175836 197871 205142 234448 263754 263828 307713 351672 395742 410284 461699 527508 527656 593613 615426 703344 791484 820568 923139 923398 1055016 1055312 1187226 1230852 1385097 1582968 1641136 1846278 1846796 2110032 2374452 2461704 2770194 3165936 3692556 3693592 4155291 4748904 4923408 5540388 7385112 7387184 8310582 9497808 11080776 14770224 16621164 22161552 33242328 66484656 966467921 1932935842 2899403763 3865871684 5798807526 6765275447 7731743368 8698211289 11597615052 13530550894 15463486736 17396422578 20295826341 23195230104 27061101788 34792845156 40591652682 46390460208 54122203576 60887479023 69585690312 81183305364 108244407152 121774958046 139171380624 162366610728 243549916092 324733221456 487099832184 974199664368