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1138088713541 = 131217195136871
BaseRepresentation
bin10000100011111011010…
…111111001110101000101
311000210121100200220002212
4100203323113321311011
5122121301202313131
62230455234513205
7145136620310423
oct20437327716505
94023540626085
101138088713541
113a972a45524a
1216469b735805
1383423ba49b0
143d125cb0113
151e90e79aa2b
hex108fb5f9d45

1138088713541 has 16 divisors (see below), whose sum is σ = 1227303103488. Its totient is φ = 1049113728000.

The previous prime is 1138088713537. The next prime is 1138088713543. The reversal of 1138088713541 is 1453178808311.

It is not a de Polignac number, because 1138088713541 - 22 = 1138088713537 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1138088713541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138088713543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30848336 + ... + 30885206.

It is an arithmetic number, because the mean of its divisors is an integer number (76706443968).

Almost surely, 21138088713541 is an apocalyptic number.

It is an amenable number.

1138088713541 is a deficient number, since it is larger than the sum of its proper divisors (89214389947).

1138088713541 is a wasteful number, since it uses less digits than its factorization.

1138088713541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40052.

The product of its (nonzero) digits is 645120, while the sum is 50.

The spelling of 1138088713541 in words is "one trillion, one hundred thirty-eight billion, eighty-eight million, seven hundred thirteen thousand, five hundred forty-one".

Divisors: 1 13 1217 1951 15821 25363 36871 479323 2374367 30866771 44872007 71935321 583336091 935159173 87545285657 1138088713541