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29096574208 = 2813311392029
BaseRepresentation
bin11011000110010010…
…100111110100000000
32210002210100010011121
4123012102213310000
5434042210333313
621211120322024
72050016541262
oct330622476400
983083303147
1029096574208
1111381291949
125780473314
13298916c320
1415a0479b32
15b5467228d
hex6c64a7d00

29096574208 has 144 divisors (see below), whose sum is σ = 65061337600. Its totient is φ = 12896133120.

The previous prime is 29096574173. The next prime is 29096574211. The reversal of 29096574208 is 80247569092.

It is a super-3 number, since 3×290965742083 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14339338 + ... + 14341366.

Almost surely, 229096574208 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 29096574208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32530668800).

29096574208 is an abundant number, since it is smaller than the sum of its proper divisors (35964763392).

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

29096574208 is a wasteful number, since it uses less digits than its factorization.

29096574208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 29096574208 in words is "twenty-nine billion, ninety-six million, five hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 139 208 248 256 278 403 416 496 556 806 832 992 1112 1612 1664 1807 1984 2029 2224 3224 3328 3614 3968 4058 4309 4448 6448 7228 7936 8116 8618 8896 12896 14456 16232 17236 17792 25792 26377 28912 32464 34472 35584 51584 52754 56017 57824 62899 64928 68944 103168 105508 112034 115648 125798 129856 137888 211016 224068 231296 251596 259712 275776 282031 422032 448136 462592 503192 519424 551552 564062 817687 844064 896272 1006384 1103104 1128124 1635374 1688128 1792544 2012768 2256248 3270748 3376256 3585088 3666403 4025536 4512496 6541496 6752512 7170176 7332806 8051072 8742961 9024992 13082992 14340352 14665612 16102144 17485922 18049984 26165984 29331224 34971844 36099968 52331968 58662448 69943688 72199936 104663936 113658493 117324896 139887376 209327872 227316986 234649792 279774752 454633972 469299584 559549504 909267944 938599168 1119099008 1818535888 2238198016 3637071776 7274143552 14548287104 29096574208