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3196090144 = 25135269
BaseRepresentation
bin1011111010000000…
…0111011100100000
322020202000012110001
42332200013130200
523021144341034
61245051145344
7142126214032
oct27640073440
98222005401
103196090144
1113a0122915
12752445254
133bc200000
1422468bc52
1513a8c9a14
hexbe807720

3196090144 has 72 divisors (see below), whose sum is σ = 6842000340. Its totient is φ = 1469634816.

The previous prime is 3196090129. The next prime is 3196090153. The reversal of 3196090144 is 4410906913.

It can be written as a sum of positive squares in 6 ways, for example, as 2857971600 + 338118544 = 53460^2 + 18388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11881242 + ... + 11881510.

Almost surely, 23196090144 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 3196090144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421000170).

3196090144 is an abundant number, since it is smaller than the sum of its proper divisors (3645910196).

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

3196090144 is an frugal number, since it uses more digits than its factorization.

3196090144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 3196090144 is about 56533.9733611569. The cubic root of 3196090144 is about 1473.0121868282.

The spelling of 3196090144 in words is "three billion, one hundred ninety-six million, ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 269 338 416 538 676 1076 1352 2152 2197 2704 3497 4304 4394 5408 6994 8608 8788 13988 17576 27976 28561 35152 45461 55952 57122 70304 90922 111904 114244 181844 228488 363688 371293 456976 590993 727376 742586 913952 1181986 1454752 1485172 2363972 2970344 4727944 5940688 7682909 9455888 11881376 15365818 18911776 30731636 61463272 99877817 122926544 199755634 245853088 399511268 799022536 1598045072 3196090144