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69729806172 = 223133760120101
BaseRepresentation
bin100000011110000111…
…0000110011101011100
320122222120221011121210
41000330032012131130
52120301312244142
652011115424420
75015653400355
oct1007416063534
9218876834553
1069729806172
1127632726494
1211620455110
136763484550
143536ba0d2c
151c31a3d49c
hex103c38675c

69729806172 has 96 divisors (see below), whose sum is σ = 180262513984. Its totient is φ = 20839680000.

The previous prime is 69729806149. The next prime is 69729806173. The reversal of 69729806172 is 27160892796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69729806173) 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 31 ways as a sum of consecutive naturals, for example, 3458922 + ... + 3479022.

Almost surely, 269729806172 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 69729806172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90131256992).

69729806172 is an abundant number, since it is smaller than the sum of its proper divisors (110532707812).

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

69729806172 is a wasteful number, since it uses less digits than its factorization.

69729806172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20759 (or 20757 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 69729806172 in words is "sixty-nine billion, seven hundred twenty-nine million, eight hundred six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 601 962 1202 1443 1803 1924 2404 2886 3606 5772 7212 7813 15626 20101 22237 23439 31252 40202 44474 46878 60303 66711 80404 88948 93756 120606 133422 241212 261313 266844 289081 522626 578162 743737 783939 867243 1045252 1156324 1487474 1567878 1734486 2231211 2974948 3135756 3468972 4462422 8924844 9668581 12080701 19337162 24161402 29005743 36242103 38674324 48322804 58011486 72484206 116022972 144968412 157049113 314098226 446985937 471147339 628196452 893971874 942294678 1340957811 1787943748 1884589356 2681915622 5363831244 5810817181 11621634362 17432451543 23243268724 34864903086 69729806172