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29032069344 = 2538314892447
BaseRepresentation
bin11011000010011100…
…100011100011100000
32202221021221221010120
4123002130203203200
5433424202204334
621200454000240
72045304342405
oct330234434340
982837857116
1029032069344
1111348934443
125762946080
1329789a5a75
141595a882ac
15b4db7e949
hex6c27238e0

29032069344 has 96 divisors (see below), whose sum is σ = 77210703360. Its totient is φ = 9550436352.

The previous prime is 29032069337. The next prime is 29032069387. The reversal of 29032069344 is 44396023092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×290320693442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29032069296 and 29032069305.

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, 11863129 + ... + 11865575.

It is an arithmetic number, because the mean of its divisors is an integer number (804278160).

Almost surely, 229032069344 is an apocalyptic number.

29032069344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29032069344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38605351680).

29032069344 is an abundant number, since it is smaller than the sum of its proper divisors (48178634016).

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

29032069344 is a wasteful number, since it uses less digits than its factorization.

29032069344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 29032069344 in words is "twenty-nine billion, thirty-two million, sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1489 1992 2447 2656 2978 3984 4467 4894 5956 7341 7968 8934 9788 11912 14682 17868 19576 23824 29364 35736 39152 47648 58728 71472 78304 117456 123587 142944 203101 234912 247174 370761 406202 494348 609303 741522 812404 988696 1218606 1483044 1624808 1977392 2437212 2966088 3249616 3643583 3954784 4874424 5932176 6499232 7287166 9748848 10930749 11864352 14574332 19497696 21861498 29148664 43722996 58297328 87445992 116594656 174891984 302417389 349783968 604834778 907252167 1209669556 1814504334 2419339112 3629008668 4838678224 7258017336 9677356448 14516034672 29032069344