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29893028769 = 32172322691373
BaseRepresentation
bin11011110101110000…
…110110101110100001
32212011022000012102200
4123311300312232201
5442210103410034
621422131203413
72105530360242
oct336560665641
985138005380
1029893028769
111174a920a5a
125963146569
132a85180506
141638160cc9
15b9e548a99
hex6f5c36ba1

29893028769 has 72 divisors (see below), whose sum is σ = 48005553960. Its totient is φ = 17861200896.

The previous prime is 29893028761. The next prime is 29893028771. The reversal of 29893028769 is 96782039892.

29893028769 is a `hidden beast` number, since 298 + 9 + 3 + 0 + 287 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9982407744 + 19910621025 = 99912^2 + 141105^2 .

It is not a de Polignac number, because 29893028769 - 23 = 29893028761 is a prime.

It is a super-2 number, since 2×298930287692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29893028761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21771367 + ... + 21772739.

It is an arithmetic number, because the mean of its divisors is an integer number (666743805).

Almost surely, 229893028769 is an apocalyptic number.

It is an amenable number.

29893028769 is a deficient number, since it is larger than the sum of its proper divisors (18112525191).

29893028769 is a wasteful number, since it uses less digits than its factorization.

29893028769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 29893028769 in words is "twenty-nine billion, eight hundred ninety-three million, twenty-eight thousand, seven hundred sixty-nine".

Divisors: 1 3 9 17 23 51 69 153 207 269 391 529 807 1173 1373 1587 2421 3519 4119 4573 4761 6187 8993 12357 13719 18561 23341 26979 31579 41157 55683 70023 80937 94737 105179 142301 210069 284211 315537 369337 426903 536843 726317 946611 1108011 1280709 1610529 2178951 2419117 3324033 4831587 6278729 6536853 7257351 8494751 12347389 18836187 21772053 25484253 37042167 56508561 76452759 111126501 144410767 195379273 433232301 586137819 1299696903 1758413457 3321447641 9964342923 29893028769