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9930801153 = 371327613677
BaseRepresentation
bin10010011111110110…
…00000000000000001
3221122002112222011010
421033323000000001
5130314241114103
64321231311133
7501044263020
oct111773000001
927562488133
109930801153
114236750989
121b1197b4a9
13c2356c500
146a2cac8b7
153d1c8e903
hex24fec0001

9930801153 has 48 divisors (see below), whose sum is σ = 16412236416. Its totient is φ = 5229918720.

The previous prime is 9930801131. The next prime is 9930801173. The reversal of 9930801153 is 3511080399.

It is not a de Polignac number, because 9930801153 - 28 = 9930800897 is a prime.

It is a super-2 number, since 2×99308011532 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (9930801173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2698951 + ... + 2702627.

It is an arithmetic number, because the mean of its divisors is an integer number (341921592).

It is a Proth number, since it is equal to 37883 ⋅ 218 + 1 and 37883 < 218.

Almost surely, 29930801153 is an apocalyptic number.

It is an amenable number.

9930801153 is a deficient number, since it is larger than the sum of its proper divisors (6481435263).

9930801153 is a wasteful number, since it uses less digits than its factorization.

9930801153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 9930801153 is about 99653.4051249630. The cubic root of 9930801153 is about 2149.4537031349.

The spelling of 9930801153 in words is "nine billion, nine hundred thirty million, eight hundred one thousand, one hundred fifty-three".

Divisors: 1 3 7 13 21 39 91 169 273 507 761 1183 2283 3549 3677 5327 9893 11031 15981 25739 29679 47801 69251 77217 128609 143403 207753 334607 385827 621413 900263 1003821 1864239 2700789 2798197 4349891 8394591 13049673 19587379 36376561 58762137 109129683 254635927 472895293 763907781 1418685879 3310267051 9930801153