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997724943439056 = 24337329935497169
BaseRepresentation
bin1110001011011011001111000…
…0110101100101010011010000
311211211122120110202212101221000
43202312303300311211103100
52021233211141010022211
613453552302245502000
7420104151125421540
oct34266636065452320
94754576422771830
10997724943439056
112699a6854a324a8
1293a99940a11900
1333a9409b5863c1
1413854205947320
157a531ae8ad656
hex38b6cf0d654d0

997724943439056 has 80 divisors (see below), whose sum is σ = 3272960131926400. Its totient is φ = 285064269553152.

The previous prime is 997724943439043. The next prime is 997724943439067. The reversal of 997724943439056 is 650934349427799.

997724943439056 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 2 + 49 + 434 + 3 + 90 + 56 = 666.

997724943439056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9977249434390562 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164967745561 + ... + 164967751608.

It is an arithmetic number, because the mean of its divisors is an integer number (40912001649080).

Almost surely, 2997724943439056 is an apocalyptic number.

It is an amenable number.

997724943439056 is an abundant number, since it is smaller than the sum of its proper divisors (2275235188487344).

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

997724943439056 is a wasteful number, since it uses less digits than its factorization.

997724943439056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329935497193 (or 329935497181 counting only the distinct ones).

The product of its (nonzero) digits is 11110659840, while the sum is 81.

The spelling of 997724943439056 in words is "nine hundred ninety-seven trillion, seven hundred twenty-four billion, nine hundred forty-three million, four hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 329935497169 659870994338 989806491507 1319741988676 1979612983014 2309548480183 2639483977352 2969419474521 3959225966028 4619096960366 5278967954704 5938838949042 6928645440549 7918451932056 8908258423563 9238193920732 11877677898084 13857290881098 15836903864112 17816516847126 18476387841464 20785936321647 23755355796168 27714581762196 35633033694252 36952775682928 41571872643294 47510711592336 55429163524392 62357808964941 71266067388504 83143745286588 110858327048784 124715617929882 142532134777008 166287490573176 249431235859764 332574981146352 498862471719528 997724943439056