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29996396928 = 273410932647
BaseRepresentation
bin11011111011111011…
…001011000110000000
32212102111111211220000
4123323323023012000
5442413034200203
621440302520000
72111224111161
oct337373130600
985374454800
1029996396928
11117a3202a93
125991896000
132aa07030c4
141647b8b768
15ba86664a3
hex6fbecb180

29996396928 has 160 divisors (see below), whose sum is σ = 89384219760. Its totient is φ = 9985876992.

The previous prime is 29996396869. The next prime is 29996396953. The reversal of 29996396928 is 82969369992.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 11330901 + ... + 11333547.

Almost surely, 229996396928 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 29996396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44692109880).

29996396928 is an abundant number, since it is smaller than the sum of its proper divisors (59387822832).

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

29996396928 is a wasteful number, since it uses less digits than its factorization.

29996396928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3745 counting only the distinct ones).

The product of its digits is 204073344, while the sum is 72.

The spelling of 29996396928 in words is "twenty-nine billion, nine hundred ninety-six million, three hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1093 1152 1296 1728 2186 2592 2647 3279 3456 4372 5184 5294 6558 7941 8744 9837 10368 10588 13116 15882 17488 19674 21176 23823 26232 29511 31764 34976 39348 42352 47646 52464 59022 63528 69952 71469 78696 84704 88533 95292 104928 118044 127056 139904 142938 157392 169408 177066 190584 209856 214407 236088 254112 285876 314784 338816 354132 381168 419712 428814 472176 508224 571752 629568 708264 762336 857628 944352 1016448 1143504 1259136 1416528 1524672 1715256 1888704 2287008 2833056 2893171 3049344 3430512 3777408 4574016 5666112 5786342 6861024 8679513 9148032 11332224 11572684 13722048 17359026 23145368 26038539 27444096 34718052 46290736 52077078 69436104 78115617 92581472 104154156 138872208 156231234 185162944 208308312 234346851 277744416 312462468 370325888 416616624 468693702 555488832 624924936 833233248 937387404 1110977664 1249849872 1666466496 1874774808 2499699744 3332932992 3749549616 4999399488 7499099232 9998798976 14998198464 29996396928