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9929909556 = 2234741106787
BaseRepresentation
bin10010011111101111…
…00110010100110100
3221122000212200010000
421033313212110310
5130314024101211
64321200231300
7501033560430
oct111767462464
927560780100
109929909556
1142361a2026
121b1160b530
13c23319738
146a2b199c0
153d1b65656
hex24fde6534

9929909556 has 120 divisors (see below), whose sum is σ = 30391010496. Its totient is φ = 2767893120.

The previous prime is 9929909543. The next prime is 9929909569. The reversal of 9929909556 is 6559099299.

It is an interprime number because it is at equal distance from previous prime (9929909543) and next prime (9929909569).

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

It is a junction number, because it is equal to n+sod(n) for n = 9929909493 and 9929909502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39595 + ... + 146381.

Almost surely, 29929909556 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 9929909556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195505248).

9929909556 is an abundant number, since it is smaller than the sum of its proper divisors (20461100940).

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

9929909556 is a wasteful number, since it uses less digits than its factorization.

9929909556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106851 (or 106840 counting only the distinct ones).

The product of its (nonzero) digits is 17714700, while the sum is 63.

The square root of 9929909556 is about 99648.9315346632. The cubic root of 9929909556 is about 2149.3893745274.

The spelling of 9929909556 in words is "nine billion, nine hundred twenty-nine million, nine hundred nine thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 246 252 287 324 369 378 492 567 574 738 756 861 1107 1134 1148 1476 1722 2214 2268 2583 3321 3444 4428 5166 6642 7749 10332 13284 15498 23247 30996 46494 92988 106787 213574 320361 427148 640722 747509 961083 1281444 1495018 1922166 2242527 2883249 2990036 3844332 4378267 4485054 5766498 6727581 8649747 8756534 8970108 11532996 13134801 13455162 17299494 17513068 20182743 26269602 26910324 30647869 34598988 39404403 40365486 52539204 60548229 61295738 78808806 80730972 91943607 118213209 121096458 122591476 157617612 183887214 236426418 242192916 275830821 354639627 367774428 472852836 551661642 709279254 827492463 1103323284 1418558508 1654984926 2482477389 3309969852 4964954778 9929909556