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29809019376 = 24321712795881
BaseRepresentation
bin11011110000110000…
…011000100111110000
32211221102221002012200
4123300300120213300
5442022102110001
621405530423200
72103460325013
oct336060304760
984842832180
1029809019376
1111707461504
12593ab91b00
132a70948206
14162ad3337a
15b96ea2086
hex6f0c189f0

29809019376 has 120 divisors (see below), whose sum is σ = 89027587584. Its totient is φ = 9278115840.

The previous prime is 29809019369. The next prime is 29809019413. The reversal of 29809019376 is 67391090892.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262956 + ... + 358836.

Almost surely, 229809019376 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 29809019376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44513793792).

29809019376 is an abundant number, since it is smaller than the sum of its proper divisors (59218568208).

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

29809019376 is a wasteful number, since it uses less digits than its factorization.

29809019376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96039 (or 96030 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 29809019376 in words is "twenty-nine billion, eight hundred nine million, nineteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 127 136 144 153 204 254 272 306 381 408 508 612 762 816 1016 1143 1224 1524 2032 2159 2286 2448 3048 4318 4572 6096 6477 8636 9144 12954 17272 18288 19431 25908 34544 38862 51816 77724 95881 103632 155448 191762 287643 310896 383524 575286 767048 862929 1150572 1534096 1629977 1725858 2301144 3259954 3451716 4602288 4889931 6519908 6903432 9779862 12176887 13039816 13806864 14669793 19559724 24353774 26079632 29339586 36530661 39119448 48707548 58679172 73061322 78238896 97415096 109591983 117358344 146122644 194830192 207007079 219183966 234716688 292245288 414014158 438367932 584490576 621021237 828028316 876735864 1242042474 1656056632 1753471728 1863063711 2484084948 3312113264 3726127422 4968169896 7452254844 9936339792 14904509688 29809019376