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72910969812447 = 31319293599451097
BaseRepresentation
bin10000100100111111101000…
…011101001011010111011111
3100120011012221211212220200220
4100210333220131023113133
534024033131232444242
6415022500453052423
721233433541545114
oct2044775035132737
9316135854786626
1072910969812447
11212604067461a8
128216774327113
13318b623612350
141400ca459090b
158668ad0c9bec
hex424fe874b5df

72910969812447 has 64 divisors (see below), whose sum is σ = 114320481408000. Its totient is φ = 40926723683328.

The previous prime is 72910969812431. The next prime is 72910969812467. The reversal of 72910969812447 is 74421896901927.

It is not a de Polignac number, because 72910969812447 - 24 = 72910969812431 is a prime.

It is a super-2 number, since 2×729109698124472 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72910969812467) 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, 2989003 + ... + 12440099.

It is an arithmetic number, because the mean of its divisors is an integer number (1786257522000).

Almost surely, 272910969812447 is an apocalyptic number.

72910969812447 is a deficient number, since it is larger than the sum of its proper divisors (41409511595553).

72910969812447 is a wasteful number, since it uses less digits than its factorization.

72910969812447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9451520.

The product of its (nonzero) digits is 109734912, while the sum is 69.

The spelling of 72910969812447 in words is "seventy-two trillion, nine hundred ten billion, nine hundred sixty-nine million, eight hundred twelve thousand, four hundred forty-seven".

Divisors: 1 3 13 19 29 39 57 87 247 359 377 551 741 1077 1131 1653 4667 6821 7163 10411 14001 20463 21489 31233 88673 135343 197809 266019 406029 593427 2571517 7714551 9451097 28353291 122864261 179570843 274081813 368592783 538712529 822245439 2334420959 3392943823 3563063569 5207554447 7003262877 10178831469 10689190707 15622663341 44108269699 64465932637 67698207811 98395370867 132324809097 193397797911 203094623433 295186112601 838057124281 1279139821271 1869512046473 2514171372843 3837419463813 5608536139419 24303656604149 72910969812447