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95909349344 = 2517601293351
BaseRepresentation
bin101100101010010100…
…1001000011111100000
3100011120002100202110212
41121110221020133200
53032410243134334
6112020554113252
76633503006204
oct1312451103740
9304502322425
1095909349344
1137747366786
1216707a1b828
13907619bbb3
1448dba70b04
152765059ece
hex1654a487e0

95909349344 has 48 divisors (see below), whose sum is σ = 200262023136. Its totient is φ = 45058560000.

The previous prime is 95909349331. The next prime is 95909349373. The reversal of 95909349344 is 44394390959.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180269 + ... + 473619.

It is an arithmetic number, because the mean of its divisors is an integer number (4172125482).

Almost surely, 295909349344 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 95909349344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100131011568).

95909349344 is an abundant number, since it is smaller than the sum of its proper divisors (104352673792).

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

95909349344 is a wasteful number, since it uses less digits than its factorization.

95909349344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293979 (or 293971 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 59.

The spelling of 95909349344 in words is "ninety-five billion, nine hundred nine million, three hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 601 1202 2404 4808 9616 10217 19232 20434 40868 81736 163472 293351 326944 586702 1173404 2346808 4693616 4986967 9387232 9973934 19947868 39895736 79791472 159582944 176303951 352607902 705215804 1410431608 2820863216 2997167167 5641726432 5994334334 11988668668 23977337336 47954674672 95909349344