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96123561444 = 2232516732
BaseRepresentation
bin101100110000101101…
…0010010010111100100
3100012010000102212020100
41121201122102113210
53033330112431234
6112054125304100
76642013535241
oct1314132222744
9305100385210
1096123561444
1137847276479
1216767705030
1390ab691011
14491c2b25c8
152778c70399
hex16616925e4

96123561444 has 27 divisors (see below), whose sum is σ = 242983704873. Its totient is φ = 32040567072.

The previous prime is 96123561437. The next prime is 96123561449. The reversal of 96123561444 is 44416532169.

The square root of 96123561444 is 310038.

It is a perfect power (a square), and thus also a powerful number.

96123561444 is a `hidden beast` number, since 9 + 6 + 1 + 23 + 5 + 614 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95055056100 + 1068505344 = 308310^2 + 32688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96123561444.

It is not an unprimeable number, because it can be changed into a prime (96123561449) 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 8 ways as a sum of consecutive naturals, for example, 1834392 + ... + 1886064.

Almost surely, 296123561444 is an apocalyptic number.

96123561444 is the 310038-th square number.

It is an amenable number.

96123561444 is an abundant number, since it is smaller than the sum of its proper divisors (146860143429).

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

96123561444 is an frugal number, since it uses more digits than its factorization.

96123561444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103356 (or 51678 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 96123561444 in words is "ninety-six billion, one hundred twenty-three million, five hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 51673 103346 155019 206692 310038 465057 620076 930114 1860228 2670098929 5340197858 8010296787 10680395716 16020593574 24030890361 32041187148 48061780722 96123561444