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117742623216 = 24331167659719
BaseRepresentation
bin110110110101000000…
…0011101100111110000
3102020220200111222200220
41231222000131213300
53412114102420331
6130031253013040
711335525532661
oct1555200354760
9366820458626
10117742623216
1145a30706579
121a99b924180
13b145616a6a
1459ad611368
1530e1c03296
hex1b6a01d9f0

117742623216 has 160 divisors (see below), whose sum is σ = 316779724800. Its totient is φ = 37644337920.

The previous prime is 117742623161. The next prime is 117742623217. The reversal of 117742623216 is 612326247711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117742623217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163758505 + ... + 163759223.

It is an arithmetic number, because the mean of its divisors is an integer number (1979873280).

Almost surely, 2117742623216 is an apocalyptic number.

117742623216 is a gapful number since it is divisible by the number (16) 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 117742623216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158389862400).

117742623216 is an abundant number, since it is smaller than the sum of its proper divisors (199037101584).

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

117742623216 is a wasteful number, since it uses less digits than its factorization.

117742623216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1581 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The spelling of 117742623216 in words is "one hundred seventeen billion, seven hundred forty-two million, six hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 167 186 248 334 372 496 501 659 668 719 744 1002 1318 1336 1438 1488 1977 2004 2157 2636 2672 2876 3954 4008 4314 5177 5272 5752 7908 8016 8628 10354 10544 11504 15531 15816 17256 20429 20708 22289 31062 31632 34512 40858 41416 44578 61287 62124 66867 81716 82832 89156 110053 120073 122574 124248 133734 163432 178312 220106 240146 245148 248496 267468 326864 330159 356624 360219 440212 473821 480292 490296 534936 660318 720438 880424 947642 960584 980592 1069872 1320636 1421463 1440876 1760848 1895284 1921168 2641272 2842926 2881752 3411643 3722263 3790568 5282544 5685852 5763504 6823286 7444526 7581136 10234929 11166789 11371704 13646572 14688451 14889052 20469858 22333578 22743408 27293144 29376902 29778104 40939716 44065353 44667156 54586288 58753804 59556208 79128107 81879432 88130706 89334312 117507608 158256214 163758864 176261412 178668624 235015216 237384321 316512428 352522824 474768642 633024856 705045648 949537284 1266049712 1899074568 2452971317 3798149136 4905942634 7358913951 9811885268 14717827902 19623770536 29435655804 39247541072 58871311608 117742623216