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264075196896 = 2534714554409
BaseRepresentation
bin1111010111110000011…
…0111011100111100000
3221020121212001221110000
43311330012323213200
513311311222300041
6321151531540000
725036013065140
oct3657406734740
9836555057400
10264075196896
11a1aa2622a85
124321a2ba600
131bb96138b74
14cad1ca0920
156d08852bb6
hex3d7c1bb9e0

264075196896 has 120 divisors (see below), whose sum is σ = 887586139440. Its totient is φ = 75450051072.

The previous prime is 264075196837. The next prime is 264075196919. The reversal of 264075196896 is 698691570462.

264075196896 is a `hidden beast` number, since 2 + 6 + 407 + 51 + 96 + 8 + 96 = 666.

264075196896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2640751968962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7259061 + ... + 7295348.

It is an arithmetic number, because the mean of its divisors is an integer number (7396551162).

Almost surely, 2264075196896 is an apocalyptic number.

It is an amenable number.

264075196896 is an abundant number, since it is smaller than the sum of its proper divisors (623510942544).

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

264075196896 is a wasteful number, since it uses less digits than its factorization.

264075196896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14554438 (or 14554421 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 264075196896 in words is "two hundred sixty-four billion, seventy-five million, one hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 14554409 29108818 43663227 58217636 87326454 101880863 116435272 130989681 174652908 203761726 232870544 261979362 305642589 349305816 392969043 407523452 465741088 523958724 611285178 698611632 785938086 815046904 916927767 1047917448 1178907129 1222570356 1397223264 1571876172 1630093808 1833855534 2095834896 2357814258 2445140712 2750783301 3143752344 3260187616 3667711068 4191669792 4715628516 4890281424 5501566602 6287504688 7335422136 8252349903 9431257032 9780562848 11003133204 12575009376 14670844272 16504699806 18862514064 22006266408 29341688544 33009399612 37725028128 44012532816 66018799224 88025065632 132037598448 264075196896