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117552978 = 23361127281
BaseRepresentation
bin1110000000110…
…11011101010010
322012012022101000
413000123131102
5220043143403
615355322430
72625120024
oct700333522
9265168330
10117552978
11603a0324
1233450416
131b47b19a
1411880014
15a4c07a3
hex701b752

117552978 has 64 divisors (see below), whose sum is σ = 268554240. Its totient is φ = 38102400.

The previous prime is 117552971. The next prime is 117552989. The reversal of 117552978 is 879255711.

117552978 is a `hidden beast` number, since 1 + 1 + 7 + 552 + 97 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (117552971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418198 + ... + 418478.

It is an arithmetic number, because the mean of its divisors is an integer number (4196160).

Almost surely, 2117552978 is an apocalyptic number.

117552978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117552978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277120).

117552978 is an abundant number, since it is smaller than the sum of its proper divisors (151001262).

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

117552978 is a wasteful number, since it uses less digits than its factorization.

117552978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The square root of 117552978 is about 10842.1851118674. The cubic root of 117552978 is about 489.8666553722.

The spelling of 117552978 in words is "one hundred seventeen million, five hundred fifty-two thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 61 122 127 183 254 281 366 381 549 562 762 843 1098 1143 1647 1686 2286 2529 3294 3429 5058 6858 7587 7747 15174 15494 17141 23241 34282 35687 46482 51423 69723 71374 102846 107061 139446 154269 209169 214122 308538 321183 418338 462807 642366 925614 963549 1927098 2176907 4353814 6530721 13061442 19592163 39184326 58776489 117552978