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137004816879 = 337327753407
BaseRepresentation
bin111111110011000011…
…1111001100111101111
3111002122002201210221000
41333212013321213233
54221041213120004
6142534504411343
712620051505000
oct1774607714757
9432562653830
10137004816879
1153115713797
1222676776b53
13cbc51a60a8
1468b991b1a7
15386cccec39
hex1fe61f99ef

137004816879 has 64 divisors (see below), whose sum is σ = 237558784000. Its totient is φ = 78004376352.

The previous prime is 137004816877. The next prime is 137004816901. The reversal of 137004816879 is 978618400731.

137004816879 is a `hidden beast` number, since 1 + 37 + 0 + 0 + 481 + 68 + 79 = 666.

It is not a de Polignac number, because 137004816879 - 21 = 137004816877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137004816877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2538594 + ... + 2592000.

It is an arithmetic number, because the mean of its divisors is an integer number (3711856000).

Almost surely, 2137004816879 is an apocalyptic number.

137004816879 is a deficient number, since it is larger than the sum of its proper divisors (100553967121).

137004816879 is an equidigital number, since it uses as much as digits as its factorization.

137004816879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53714 (or 53694 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 137004816879 in words is "one hundred thirty-seven billion, four million, eight hundred sixteen thousand, eight hundred seventy-nine".

Divisors: 1 3 7 9 21 27 49 63 147 189 277 343 441 831 1029 1323 1939 2493 3087 5817 7479 9261 13573 17451 40719 52353 53407 95011 122157 160221 285033 366471 373849 480663 855099 1121547 1441989 2565297 2616943 3364641 7850829 10093923 14793739 18318601 23552487 44381217 54955803 70657461 103556173 133143651 164867409 310668519 399430953 494602227 724893211 932005557 2174679633 2796016671 5074252477 6524038899 15222757431 19572116697 45668272293 137004816879