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69631692672 = 2734728313633
BaseRepresentation
bin100000011011001011…
…1110100111110000000
320122201202022111012110
41000312113310332000
52120101203131142
651553252455320
75013352423233
oct1006627647600
9218652274173
1069631692672
1127592303353
12115b361a540
136749051619
143527b4141a
151c2810c99c
hex10365f4f80

69631692672 has 128 divisors (see below), whose sum is σ = 189575861760. Its totient is φ = 22634790912.

The previous prime is 69631692667. The next prime is 69631692707. The reversal of 69631692672 is 27629613696.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 5100768 + ... + 5114400.

It is an arithmetic number, because the mean of its divisors is an integer number (1481061420).

Almost surely, 269631692672 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 69631692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94787930880).

69631692672 is an abundant number, since it is smaller than the sum of its proper divisors (119944169088).

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

69631692672 is a wasteful number, since it uses less digits than its factorization.

69631692672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13980 (or 13968 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 57.

The spelling of 69631692672 in words is "sixty-nine billion, six hundred thirty-one million, six hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 283 376 384 564 566 752 849 1128 1132 1504 1698 2256 2264 3008 3396 4512 4528 6016 6792 9024 9056 13301 13584 13633 18048 18112 26602 27168 27266 36224 39903 40899 53204 54336 54532 79806 81798 106408 108672 109064 159612 163596 212816 218128 319224 327192 425632 436256 638448 640751 654384 851264 872512 1276896 1281502 1308768 1702528 1745024 1922253 2553792 2563004 2617536 3844506 3858139 5107584 5126008 5235072 7689012 7716278 10252016 11574417 15378024 15432556 20504032 23148834 30756048 30865112 41008064 46297668 61512096 61730224 82016128 92595336 123024192 123460448 181332533 185190672 246048384 246920896 362665066 370381344 493841792 543997599 725330132 740762688 1087995198 1450660264 1481525376 2175990396 2901320528 4351980792 5802641056 8703961584 11605282112 17407923168 23210564224 34815846336 69631692672