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137330750101433 = 73107193131914699
BaseRepresentation
bin11111001110011011001110…
…100100111001011110111001
3200000020200200002122021222212
4133032123032210321132321
5121000011334011221213
61204024513050024505
740632551003354000
oct3716331644713671
9600220602567885
10137330750101433
113a83770a255139
121349b752418135
135b823076061b5
1425cabb543bc37
1510d244bd4c9a8
hex7ce6ce9397b9

137330750101433 has 64 divisors (see below), whose sum is σ = 162621043200000. Its totient is φ = 115911914130432.

The previous prime is 137330750101399. The next prime is 137330750101459. The reversal of 137330750101433 is 334101057033731.

It is not a de Polignac number, because 137330750101433 - 212 = 137330750097337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137330750601433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9342856118 + ... + 9342870816.

It is an arithmetic number, because the mean of its divisors is an integer number (2540953800000).

Almost surely, 2137330750101433 is an apocalyptic number.

It is an amenable number.

137330750101433 is a deficient number, since it is larger than the sum of its proper divisors (25290293098567).

137330750101433 is a wasteful number, since it uses less digits than its factorization.

137330750101433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16339 (or 16325 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 41.

The spelling of 137330750101433 in words is "one hundred thirty-seven trillion, three hundred thirty billion, seven hundred fifty million, one hundred one thousand, four hundred thirty-three".

Divisors: 1 7 49 107 193 343 749 1319 1351 5243 9233 9457 14699 20651 36701 64631 66199 102893 141133 144557 254567 452417 720251 987931 1011899 1572793 1781969 2836907 5041757 6915517 7083293 11009551 12473783 19387981 19858349 27238669 48408619 77066857 87316481 135715867 139008443 190670683 303549049 539467999 950011069 973059101 1334694781 2074513967 2124843343 3741880333 6650077483 9342863467 14521597769 14873903401 26193162331 101651184383 104117323807 183352136317 400381195631 711558290681 1283464954219 2802668369417 19618678585919 137330750101433