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1149038792135 = 513295910331689
BaseRepresentation
bin10000101110001000000…
…011001000110111000111
311001211212111012112001022
4100232020003020313013
5122311212412322020
62235510001021355
7146005152404003
oct20561003106707
94054774175038
101149038792135
11403339496383
1216683692485b
138447a670940
143d8842a7703
151ed50c78625
hex10b880c8dc7

1149038792135 has 32 divisors (see below), whose sum is σ = 1562151528000. Its totient is φ = 805375742976.

The previous prime is 1149038792131. The next prime is 1149038792137. The reversal of 1149038792135 is 5312978309411.

It is not a de Polignac number, because 1149038792135 - 22 = 1149038792131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149038792131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5054630 + ... + 5277059.

It is an arithmetic number, because the mean of its divisors is an integer number (48817235250).

Almost surely, 21149038792135 is an apocalyptic number.

1149038792135 is a deficient number, since it is larger than the sum of its proper divisors (413112735865).

1149038792135 is a wasteful number, since it uses less digits than its factorization.

1149038792135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331795.

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 1149038792135 in words is "one trillion, one hundred forty-nine billion, thirty-eight million, seven hundred ninety-two thousand, one hundred thirty-five".

Divisors: 1 5 13 29 59 65 145 295 377 767 1711 1885 3835 8555 22243 111215 10331689 51658445 134311957 299618981 609569651 671559785 1498094905 3047848255 3895046753 7924405463 17677519879 19475233765 39622027315 88387599395 229807758427 1149038792135