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10141851996 = 22331931237139
BaseRepresentation
bin10010111001000000…
…00110000101011100
3222011210200110111000
421130200012011130
5131232303230441
64354211030300
7506216214423
oct113440060534
928153613430
1010141851996
1143348a1571
121b7059b390
13c581c5773
146c2d2a2ba
153e557d2b6
hex25c80615c

10141851996 has 288 divisors, whose sum is σ = 29583456000. Its totient is φ = 2993915520.

The previous prime is 10141851971. The next prime is 10141852031. The reversal of 10141851996 is 69915814101.

10141851996 is a `hidden beast` number, since 1 + 0 + 1 + 41 + 8 + 519 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72962895 + ... + 72963033.

Almost surely, 210141851996 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 10141851996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791728000).

10141851996 is an abundant number, since it is smaller than the sum of its proper divisors (19441604004).

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

10141851996 is a wasteful number, since it uses less digits than its factorization.

10141851996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 10141851996 in words is "ten billion, one hundred forty-one million, eight hundred fifty-one thousand, nine hundred ninety-six".