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10199021768 = 23131317391013
BaseRepresentation
bin10010111111110100…
…01011100011001000
3222022210020222122222
421133322023203020
5131341422144033
64404012233212
7510512153225
oct113772134310
928283228588
1010199021768
11436409a011
121b8776b808
13c66cc1430
146ca76c94c
153ea5c2598
hex25fe8b8c8

10199021768 has 64 divisors (see below), whose sum is σ = 20799979200. Its totient is φ = 4660381440.

The previous prime is 10199021753. The next prime is 10199021773. The reversal of 10199021768 is 86712099101.

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, 10067630 + ... + 10068642.

It is an arithmetic number, because the mean of its divisors is an integer number (324999675).

Almost surely, 210199021768 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 10199021768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399989600).

10199021768 is an abundant number, since it is smaller than the sum of its proper divisors (10600957432).

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

10199021768 is a wasteful number, since it uses less digits than its factorization.

10199021768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 44.

The spelling of 10199021768 in words is "ten billion, one hundred ninety-nine million, twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 131 262 524 739 1013 1048 1478 1703 2026 2956 3406 4052 5912 6812 8104 9607 13169 13624 19214 26338 38428 52676 76856 96809 105352 132703 193618 265406 387236 530812 748607 774472 1061624 1258517 1497214 1725139 2517034 2994428 3450278 5034068 5988856 6900556 9731891 10068136 13801112 19463782 38927564 77855128 98067517 196135034 392270068 784540136 1274877721 2549755442 5099510884 10199021768