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11520078481431 = 32131601595310331
BaseRepresentation
bin1010011110100011101000…
…1011111000100000010111
31111210022100002001221002100
42213220322023320200113
53002221110042401211
640300130114213143
72266204166266512
oct247507213704027
944708302057070
1011520078481431
113741701a7a713
121360802b841b3
13657453297870
142bb80926dd79
1514e9e4dac156
hexa7a3a2f8817

11520078481431 has 48 divisors (see below), whose sum is σ = 17936063282592. Its totient is φ = 7082975232000.

The previous prime is 11520078481369. The next prime is 11520078481481. The reversal of 11520078481431 is 13418487002511.

11520078481431 is a `hidden beast` number, since 1 + 1 + 5 + 200 + 7 + 8 + 4 + 8 + 1 + 431 = 666.

11520078481431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11520078481431 - 26 = 11520078481367 is a prime.

It is a super-2 number, since 2×115200784814312 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11520078481481) 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, 1115092936 + ... + 1115103266.

It is an arithmetic number, because the mean of its divisors is an integer number (373667985054).

Almost surely, 211520078481431 is an apocalyptic number.

11520078481431 is a deficient number, since it is larger than the sum of its proper divisors (6415984801161).

11520078481431 is a wasteful number, since it uses less digits than its factorization.

11520078481431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17904 (or 17901 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 11520078481431 in words is "eleven trillion, five hundred twenty billion, seventy-eight million, four hundred eighty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 117 1601 4803 5953 10331 14409 17859 20813 30993 53577 62439 77389 92979 134303 187317 232167 402909 696501 1208727 9530753 16539931 28592259 49619793 61500443 85776777 123899789 148859379 184501329 215019103 371699367 553503987 645057309 799505759 1115098101 1935171927 2398517277 7195551831 98462209243 295386627729 886159883187 1280008720159 3840026160477 11520078481431