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29194736128 = 2976174929
BaseRepresentation
bin11011001100001001…
…000101001000000000
32210100122001021000021
4123030021011020000
5434242323024003
621224544303224
72052321106525
oct331411051000
983318037007
1029194736128
11114217383a8
1257a9311b14
1329a35bb2bc
1415ad50d14c
15b5d0b22bd
hex6cc245200

29194736128 has 40 divisors (see below), whose sum is σ = 58409883180. Its totient is φ = 14577991680.

The previous prime is 29194736101. The next prime is 29194736141. The reversal of 29194736128 is 82163749192.

It can be written as a sum of positive squares in 2 ways, for example, as 29128931584 + 65804544 = 170672^2 + 8112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 352168 + ... + 427096.

Almost surely, 229194736128 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 29194736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29204941590).

29194736128 is an abundant number, since it is smaller than the sum of its proper divisors (29215147052).

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

29194736128 is an frugal number, since it uses more digits than its factorization.

29194736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75708 (or 75692 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The spelling of 29194736128 in words is "twenty-nine billion, one hundred ninety-four million, seven hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 761 1522 3044 6088 12176 24352 48704 74929 97408 149858 194816 299716 389632 599432 1198864 2397728 4795456 9590912 19181824 38363648 57020969 114041938 228083876 456167752 912335504 1824671008 3649342016 7298684032 14597368064 29194736128