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72167422171 = 13299712891531
BaseRepresentation
bin100001100110110000…
…0110111100011011011
320220021110201220010211
41003031200313203123
52140244330002141
653053034151551
75133242652505
oct1031540674333
9226243656124
1072167422171
11286736a0469
1211ba08825b7
136a614b0890
1436c8812d75
151d25a44d81
hex10cd8378db

72167422171 has 32 divisors (see below), whose sum is σ = 81343684800. Its totient is φ = 63564963840.

The previous prime is 72167422141. The next prime is 72167422181. The reversal of 72167422171 is 17122476127.

It is a cyclic number.

It is not a de Polignac number, because 72167422171 - 27 = 72167422043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72167422141) 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 31 ways as a sum of consecutive naturals, for example, 47136676 + ... + 47138206.

It is an arithmetic number, because the mean of its divisors is an integer number (2541990150).

Almost surely, 272167422171 is an apocalyptic number.

72167422171 is a deficient number, since it is larger than the sum of its proper divisors (9176262629).

72167422171 is a wasteful number, since it uses less digits than its factorization.

72167422171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959.

The product of its digits is 65856, while the sum is 40.

Adding to 72167422171 its reverse (17122476127), we get a palindrome (89289898298).

The spelling of 72167422171 in words is "seventy-two billion, one hundred sixty-seven million, four hundred twenty-two thousand, one hundred seventy-one".

Divisors: 1 13 29 97 377 1261 1289 1531 2813 16757 19903 36569 37381 44399 125033 148507 485953 577187 1625429 1930591 1973459 3625957 4306703 25654967 47137441 55987139 57230311 191425523 743994043 2488531799 5551340167 72167422171