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127072153661 = 3141197507503
BaseRepresentation
bin111011001011000010…
…1110011000000111101
3110010222212200020111112
41312112011303000331
54040220432404121
6134213125131405
712115652325125
oct1662605630075
9403885606445
10127072153661
1149988a10912
1220764259b65
13bca143418b
1462166c5c85
15348acc375b
hex1d9617303d

127072153661 has 16 divisors (see below), whose sum is σ = 135052904448. Its totient is φ = 119364470400.

The previous prime is 127072153619. The next prime is 127072153667. The reversal of 127072153661 is 166351270721.

It is a cyclic number.

It is not a de Polignac number, because 127072153661 - 218 = 127071891517 is a prime.

It is a super-2 number, since 2×1270721536612 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127072153667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3365 + ... + 504138.

It is an arithmetic number, because the mean of its divisors is an integer number (8440806528).

Almost surely, 2127072153661 is an apocalyptic number.

It is an amenable number.

127072153661 is a deficient number, since it is larger than the sum of its proper divisors (7980750787).

127072153661 is a wasteful number, since it uses less digits than its factorization.

127072153661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507772.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 127072153661 in words is "one hundred twenty-seven billion, seventy-two million, one hundred fifty-three thousand, six hundred sixty-one".

Divisors: 1 31 41 197 1271 6107 8077 250387 507503 15732593 20807623 99978091 645036313 3099320821 4099101731 127072153661