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29107401408 = 2633137122953
BaseRepresentation
bin11011000110111011…
…111011001011000000
32210010112201012022000
4123012323323023000
5434102443321113
621212144344000
72050210554411
oct330673731300
983115635260
1029107401408
1111387407548
125784015000
13298b490557
1415a1a97808
15b555b0373
hex6c6efb2c0

29107401408 has 112 divisors (see below), whose sum is σ = 86195672160. Its totient is φ = 9631567872.

The previous prime is 29107401397. The next prime is 29107401437. The reversal of 29107401408 is 80410470192.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175260 + ... + 298212.

Almost surely, 229107401408 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 29107401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43097836080).

29107401408 is an abundant number, since it is smaller than the sum of its proper divisors (57088270752).

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

29107401408 is a wasteful number, since it uses less digits than its factorization.

29107401408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123111 (or 123095 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 29107401408 in words is "twenty-nine billion, one hundred seven million, four hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 137 144 192 216 274 288 411 432 548 576 822 864 1096 1233 1644 1728 2192 2466 3288 3699 4384 4932 6576 7398 8768 9864 13152 14796 19728 26304 29592 39456 59184 78912 118368 122953 236736 245906 368859 491812 737718 983624 1106577 1475436 1967248 2213154 2950872 3319731 3934496 4426308 5901744 6639462 7868992 8852616 11803488 13278924 16844561 17705232 23606976 26557848 33689122 35410464 50533683 53115696 67378244 70820928 101067366 106231392 134756488 151601049 202134732 212462784 269512976 303202098 404269464 454803147 539025952 606404196 808538928 909606294 1078051904 1212808392 1617077856 1819212588 2425616784 3234155712 3638425176 4851233568 7276850352 9702467136 14553700704 29107401408