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99831247056 = 243217933111701
BaseRepresentation
bin101110011111001100…
…1111111000011010000
3100112200102002210201200
41130332121333003100
53113423244401211
6113510054031200
710132624412262
oct1347631770320
9315612083650
1099831247056
113937a155562
1217421348500
13954c875c28
144b90893b32
1528e4503b56
hex173e67f0d0

99831247056 has 120 divisors (see below), whose sum is σ = 281822542560. Its totient is φ = 32988384000.

The previous prime is 99831247039. The next prime is 99831247067. The reversal of 99831247056 is 65074213899.

99831247056 is a `hidden beast` number, since 9 + 98 + 31 + 2 + 470 + 56 = 666.

It is a super-2 number, since 2×998312470562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99831246993 and 99831247011.

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, 8526006 + ... + 8537706.

It is an arithmetic number, because the mean of its divisors is an integer number (2348521188).

It is a 1-persistent number, because it is pandigital, but 2⋅99831247056 = 199662494112 is not.

Almost surely, 299831247056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99831247056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140911271280).

99831247056 is an abundant number, since it is smaller than the sum of its proper divisors (181991295504).

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

99831247056 is a wasteful number, since it uses less digits than its factorization.

99831247056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12225 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 99831247056 in words is "ninety-nine billion, eight hundred thirty-one million, two hundred forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 331 358 537 662 716 993 1074 1324 1432 1611 1986 2148 2648 2864 2979 3222 3972 4296 5296 5958 6444 7944 8592 11701 11916 12888 15888 23402 23832 25776 35103 46804 47664 59249 70206 93608 105309 118498 140412 177747 187216 210618 236996 280824 355494 421236 473992 533241 561648 710988 842472 947984 1066482 1421976 1684944 2094479 2132964 2843952 3873031 4188958 4265928 6283437 7746062 8377916 8531856 11619093 12566874 15492124 16755832 18850311 23238186 25133748 30984248 33511664 34857279 37700622 46476372 50267496 61968496 69714558 75401244 92952744 100534992 139429116 150802488 185905488 278858232 301604976 557716464 693272549 1386545098 2079817647 2773090196 4159635294 5546180392 6239452941 8319270588 11092360784 12478905882 16638541176 24957811764 33277082352 49915623528 99831247056