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29208286368 = 253421135333
BaseRepresentation
bin11011001100111100…
…110001010010100000
32210101120112200110000
4123030330301102200
5434304310130433
621230150540000
72052544223562
oct331474612240
983346480400
1029208286368
1111429352948
1257b1967600
1329a6353ab1
1415b1239332
15b5e38c113
hex6ccf314a0

29208286368 has 120 divisors (see below), whose sum is σ = 85957527348. Its totient is φ = 9729662976.

The previous prime is 29208286363. The next prime is 29208286399. The reversal of 29208286368 is 86368280292.

It can be written as a sum of positive squares in 2 ways, for example, as 29204075664 + 4210704 = 170892^2 + 2052^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (29208286363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5474230 + ... + 5479562.

Almost surely, 229208286368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29208286368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42978763674).

29208286368 is an abundant number, since it is smaller than the sum of its proper divisors (56749240980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29208286368 is a wasteful number, since it uses less digits than its factorization.

29208286368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7468 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 29208286368 in words is "twenty-nine billion, two hundred eight million, two hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2113 2592 4226 5333 6339 8452 10666 12678 15999 16904 19017 21332 25356 31998 33808 38034 42664 47997 50712 57051 63996 67616 76068 85328 95994 101424 114102 127992 143991 152136 170656 171153 191988 202848 228204 255984 287982 304272 342306 383976 431973 456408 511968 575964 608544 684612 767952 863946 912816 1151928 1369224 1535904 1727892 1825632 2303856 2738448 3455784 4607712 5476896 6911568 11268629 13823136 22537258 33805887 45074516 67611774 90149032 101417661 135223548 180298064 202835322 270447096 304252983 360596128 405670644 540894192 608505966 811341288 912758949 1081788384 1217011932 1622682576 1825517898 2434023864 3245365152 3651035796 4868047728 7302071592 9736095456 14604143184 29208286368