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47683975144 = 23134121375233
BaseRepresentation
bin101100011010001011…
…111011011111101000
311120002011210220210111
4230122023323133220
51240124044201034
633523345024104
73305440046461
oct543213733750
9146064726714
1047683975144
111924a3a7323
1292a9325034
13465bca6910
142444ccdd68
1513913aa364
hexb1a2fb7e8

47683975144 has 64 divisors (see below), whose sum is σ = 98698375440. Its totient is φ = 21457059840.

The previous prime is 47683975139. The next prime is 47683975193. The reversal of 47683975144 is 44157938674.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4673363044 + 43010612100 = 68362^2 + 207390^2 .

It is a super-2 number, since 2×476839751442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9109552 + ... + 9114784.

Almost surely, 247683975144 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 47683975144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49349187720).

47683975144 is an abundant number, since it is smaller than the sum of its proper divisors (51014400296).

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

47683975144 is a wasteful number, since it uses less digits than its factorization.

47683975144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430 (or 7426 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 58.

The spelling of 47683975144 in words is "forty-seven billion, six hundred eighty-three million, nine hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 2137 4264 4274 5233 8548 10466 17096 20932 27781 41864 55562 68029 87617 111124 136058 175234 214553 222248 272116 350468 429106 544232 700936 858212 1139021 1716424 2278042 2789189 4556084 5578378 9112168 11156756 11182921 22313512 22365842 44731684 89463368 145377973 290755946 458499761 581511892 916999522 1163023784 1833999044 3667998088 5960496893 11920993786 23841987572 47683975144