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72035674166047 = 5915317489106487
BaseRepresentation
bin10000011000010000011100…
…110001010001001100011111
3100110001112122222201000122211
4100120100130301101030133
533420213030041303142
6413112422025421251
721113256105401104
oct2030203461211437
9313045588630584
1072035674166047
1120a53181111969
1280b4bb563a827
133126c20057467
1413b078c192aab
1584dc2e821917
hex41841cc5131f

72035674166047 has 16 divisors (see below), whose sum is σ = 73314943430400. Its totient is φ = 70758362488320.

The previous prime is 72035674166011. The next prime is 72035674166101. The reversal of 72035674166047 is 74066147653027.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72035674166047 is a prime.

It is a super-2 number, since 2×720356741660472 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72035674165982 and 72035674166000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72035674166747) 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, 676420638 + ... + 676527124.

It is an arithmetic number, because the mean of its divisors is an integer number (4582183964400).

Almost surely, 272035674166047 is an apocalyptic number.

72035674166047 is a deficient number, since it is larger than the sum of its proper divisors (1279269264353).

72035674166047 is a wasteful number, since it uses less digits than its factorization.

72035674166047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115566.

The product of its (nonzero) digits is 35562240, while the sum is 58.

The spelling of 72035674166047 in words is "seventy-two trillion, thirty-five billion, six hundred seventy-four million, one hundred sixty-six thousand, forty-seven".

Divisors: 1 59 1531 7489 90329 106487 441851 6282733 11465659 163031597 676473881 797481143 9618864223 47051387437 1220943629933 72035674166047