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799144424352 = 25322995683001
BaseRepresentation
bin10111010000100001011…
…10000011001110100000
32211101201202012222211200
423220100232003032200
5101043121433034402
61411042154241200
7111510354346251
oct13502056031640
92741652188750
10799144424352
11288a0821508a
1210aa67a26200
135a4889385b1
142a970890b28
1515bc313d21c
hexba10b833a0

799144424352 has 72 divisors (see below), whose sum is σ = 2350931359140. Its totient is φ = 257195904000.

The previous prime is 799144424311. The next prime is 799144424371. The reversal of 799144424352 is 253424441997.

799144424352 is a `hidden beast` number, since 79 + 9 + 144 + 424 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 718622416656 + 80522007696 = 847716^2 + 283764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 47833149 + ... + 47849852.

Almost surely, 2799144424352 is an apocalyptic number.

799144424352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

799144424352 is an abundant number, since it is smaller than the sum of its proper divisors (1551786934788).

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

799144424352 is a wasteful number, since it uses less digits than its factorization.

799144424352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95683046 (or 95683035 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 799144424352 in words is "seven hundred ninety-nine billion, one hundred forty-four million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 95683001 191366002 287049003 382732004 574098006 765464008 861147009 1148196012 1530928016 1722294018 2296392024 2774807029 3061856032 3444588036 4592784048 5549614058 6889176072 8324421087 9185568096 11099228116 13778352144 16648842174 22198456232 24973263261 27556704288 33297684348 44396912464 49946526522 66595368696 88793824928 99893053044 133190737392 199786106088 266381474784 399572212176 799144424352