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11329936704 = 2632139141511
BaseRepresentation
bin10101000110101000…
…10001110101000000
31002020121021102022100
422203110101311000
5141200430433304
65112131510400
7550523605302
oct124324216500
932217242270
1011329936704
1148944aa159
122242458400
1310b73a7678
14796a37972
15464a13439
hex2a3511d40

11329936704 has 84 divisors (see below), whose sum is σ = 32709083680. Its totient is φ = 3749448960.

The previous prime is 11329936703. The next prime is 11329936729. The reversal of 11329936704 is 40763992311.

It is a self number, because there is not a number n which added to its sum of digits gives 11329936704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11329936703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9309 + ... + 150819.

Almost surely, 211329936704 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 11329936704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354541840).

11329936704 is an abundant number, since it is smaller than the sum of its proper divisors (21379146976).

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

11329936704 is a wasteful number, since it uses less digits than its factorization.

11329936704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141668 (or 141655 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 11329936704 in words is "eleven billion, three hundred twenty-nine million, nine hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 13344 20016 26688 40032 80064 141511 283022 424533 566044 849066 1132088 1273599 1698132 2264176 2547198 3396264 4528352 5094396 6792528 9056704 10188792 13585056 19670029 20377584 27170112 39340058 40755168 59010087 78680116 81510336 118020174 157360232 177030261 236040348 314720464 354060522 472080696 629440928 708121044 944161392 1258881856 1416242088 1888322784 2832484176 3776645568 5664968352 11329936704