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161107488 = 2533263709
BaseRepresentation
bin10011001101001…
…00111000100000
3102020011002221000
421212210320200
5312220414423
623553032000
73664251063
oct1146447040
9366132830
10161107488
1182a39493
1245b55600
13274ba899
141757a8da
15e225843
hex99a4e20

161107488 has 96 divisors (see below), whose sum is σ = 472348800. Its totient is φ = 53422848.

The previous prime is 161107477. The next prime is 161107511. The reversal of 161107488 is 884701161.

161107488 is a `hidden beast` number, since 161 + 10 + 7 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 226878 + ... + 227586.

It is an arithmetic number, because the mean of its divisors is an integer number (4920300).

Almost surely, 2161107488 is an apocalyptic number.

161107488 is a gapful number since it is divisible by the number (18) 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 161107488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236174400).

161107488 is an abundant number, since it is smaller than the sum of its proper divisors (311241312).

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

161107488 is a wasteful number, since it uses less digits than its factorization.

161107488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 161107488 is about 12692.8124542987. The cubic root of 161107488 is about 544.1332214093.

The spelling of 161107488 in words is "one hundred sixty-one million, one hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 263 288 432 526 709 789 864 1052 1418 1578 2104 2127 2367 2836 3156 4208 4254 4734 5672 6312 6381 7101 8416 8508 9468 11344 12624 12762 14202 17016 18936 19143 22688 25248 25524 28404 34032 37872 38286 51048 56808 68064 75744 76572 102096 113616 153144 186467 204192 227232 306288 372934 559401 612576 745868 1118802 1491736 1678203 2237604 2983472 3356406 4475208 5034609 5966944 6712812 8950416 10069218 13425624 17900832 20138436 26851248 40276872 53702496 80553744 161107488