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29361208272 = 2431174374843
BaseRepresentation
bin11011010110000100…
…000111101111010000
32210210020021220212020
4123112010013233100
5440112432131042
621253252331440
72056412103204
oct332604075720
983706256766
1029361208272
11114a7700390
125835013b80
1329cbc36926
1415c7684b04
15b6c9e73ec
hex6d6107bd0

29361208272 has 80 divisors (see below), whose sum is σ = 82857696768. Its totient is φ = 8885242240.

The previous prime is 29361208259. The next prime is 29361208277. The reversal of 29361208272 is 27280216392.

It is a super-2 number, since 2×293612082722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29361208277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354883 + ... + 429725.

Almost surely, 229361208272 is an apocalyptic number.

29361208272 is a gapful number since it is divisible by the number (22) 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 29361208272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41428848384).

29361208272 is an abundant number, since it is smaller than the sum of its proper divisors (53496488496).

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

29361208272 is a wasteful number, since it uses less digits than its factorization.

29361208272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75608 (or 75602 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 29361208272 in words is "twenty-nine billion, three hundred sixty-one million, two hundred eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 743 1486 2229 2972 4458 5944 8173 8916 11888 16346 17832 24519 32692 35664 49038 65384 74843 98076 130768 149686 196152 224529 299372 392304 449058 598744 823273 898116 1197488 1646546 1796232 2469819 3293092 3592464 4939638 6586184 9879276 13172368 19758552 39517104 55608349 111216698 166825047 222433396 333650094 444866792 611691839 667300188 889733584 1223383678 1334600376 1835075517 2446767356 2669200752 3670151034 4893534712 7340302068 9787069424 14680604136 29361208272