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96747600152 = 23761211134227
BaseRepresentation
bin101101000011010011…
…0110011100100011000
3100020201111200022102002
41122012212303210120
53041114341201102
6112240100500132
76663332014130
oct1320646634430
9306644608362
1096747600152
1138037552a45
12169006aa648
13917aa553a8
14497b115ac0
1527b393a902
hex16869b3918

96747600152 has 64 divisors (see below), whose sum is σ = 211715139840. Its totient is φ = 40589942400.

The previous prime is 96747600109. The next prime is 96747600203. The reversal of 96747600152 is 25100674769.

It is a junction number, because it is equal to n+sod(n) for n = 96747600097 and 96747600106.

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, 653663 + ... + 787889.

It is an arithmetic number, because the mean of its divisors is an integer number (3308049060).

Almost surely, 296747600152 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 96747600152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105857569920).

96747600152 is an abundant number, since it is smaller than the sum of its proper divisors (114967539688).

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

96747600152 is a wasteful number, since it uses less digits than its factorization.

96747600152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134512 (or 134508 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 96747600152 in words is "ninety-six billion, seven hundred forty-seven million, six hundred thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 61 122 211 244 422 427 488 844 854 1477 1688 1708 2954 3416 5908 11816 12871 25742 51484 90097 102968 134227 180194 268454 360388 536908 720776 939589 1073816 1879178 3758356 7516712 8187847 16375694 28321897 32751388 56643794 57314929 65502776 113287588 114629858 198253279 226575176 229259716 396506558 458519432 793013116 1586026232 1727635717 3455271434 6910542868 12093450019 13821085736 24186900038 48373800076 96747600152