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10018995168 = 2537132971557
BaseRepresentation
bin10010101010010110…
…11011101111100000
3221212020111200121010
421111023123233200
5131004330321133
64334101500520
7503165024310
oct112513335740
927766450533
1010018995168
1142815093a6
121b37411740
13c3890b410
146b08a9440
153d98b1263
hex2552dbbe0

10018995168 has 384 divisors, whose sum is σ = 34017822720. Its totient is φ = 2510807040.

The previous prime is 10018995167. The next prime is 10018995179. The reversal of 10018995168 is 86159981001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10018995167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17987146 + ... + 17987702.

It is an arithmetic number, because the mean of its divisors is an integer number (88588080).

Almost surely, 210018995168 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 10018995168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008911360).

10018995168 is an abundant number, since it is smaller than the sum of its proper divisors (23998827552).

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

10018995168 is a wasteful number, since it uses less digits than its factorization.

10018995168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 48.

The spelling of 10018995168 in words is "ten billion, eighteen million, nine hundred ninety-five thousand, one hundred sixty-eight".