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9930801152 = 21843881
BaseRepresentation
bin10010011111110110…
…00000000000000000
3221122002112222011002
421033323000000000
5130314241114102
64321231311132
7501044263016
oct111773000000
927562488132
109930801152
114236750988
121b1197b4a8
13c2356c4cc
146a2cac8b6
153d1c8e902
hex24fec0000

9930801152 has 76 divisors (see below), whose sum is σ = 20346529896. Its totient is φ = 4844421120.

The previous prime is 9930801131. The next prime is 9930801173. The reversal of 9930801152 is 2511080399.

It is an interprime number because it is at equal distance from previous prime (9930801131) and next prime (9930801173).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11271752 + ... + 11272632.

Almost surely, 29930801152 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 9930801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173264948).

9930801152 is an abundant number, since it is smaller than the sum of its proper divisors (10415728744).

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

9930801152 is an frugal number, since it uses more digits than its factorization.

9930801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 9930801152 is about 99653.4051199456. The cubic root of 9930801152 is about 2149.4537030628.

The spelling of 9930801152 in words is "nine billion, nine hundred thirty million, eight hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 881 1024 1376 1762 2048 2752 3524 4096 5504 7048 8192 11008 14096 16384 22016 28192 32768 37883 44032 56384 65536 75766 88064 112768 131072 151532 176128 225536 262144 303064 352256 451072 606128 704512 902144 1212256 1409024 1804288 2424512 2818048 3608576 4849024 5636096 7217152 9698048 11272192 14434304 19396096 28868608 38792192 57737216 77584384 115474432 155168768 230948864 310337536 620675072 1241350144 2482700288 4965400576 9930801152