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9938661132 = 22319315772437
BaseRepresentation
bin10010100000110001…
…11110111100001100
3221122122100022000110
421100120332330030
5130323244124012
64322112000020
7501201140301
oct112030767414
927578308013
109938661132
11424012a234
121b14530010
13c25091c9a
146a3d570a8
153d27e373c
hex25063ef0c

9938661132 has 96 divisors (see below), whose sum is σ = 25252218880. Its totient is φ = 3030773760.

The previous prime is 9938661121. The next prime is 9938661149. The reversal of 9938661132 is 2311668399.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4077018 + ... + 4079454.

Almost surely, 29938661132 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 9938661132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626109440).

9938661132 is an abundant number, since it is smaller than the sum of its proper divisors (15313557748).

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

9938661132 is a wasteful number, since it uses less digits than its factorization.

9938661132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3069 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 9938661132 is about 99692.8339049503. The cubic root of 9938661132 is about 2150.0206330812.

The spelling of 9938661132 in words is "nine billion, nine hundred thirty-eight million, six hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 577 589 1154 1178 1731 1767 2308 2356 2437 3462 3534 4874 6924 7068 7311 9748 10963 14622 17887 21926 29244 32889 35774 43852 46303 53661 65778 71548 75547 92606 107322 131556 138909 151094 185212 214644 226641 277818 302188 339853 453282 555636 679706 906564 1019559 1359412 1406149 1435393 2039118 2812298 2870786 4078236 4218447 4306179 5624596 5741572 8436894 8612358 16873788 17224716 26716831 43590619 53433662 80150493 87181238 106867324 130771857 160300986 174362476 261543714 320601972 523087428 828221761 1656443522 2484665283 3312887044 4969330566 9938661132