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10468147700 = 2252711579391
BaseRepresentation
bin10011011111111001…
…10100000111110100
31000000112200000001002
421233330310013310
5132414321211300
64450424422432
7520260534023
oct115774640764
930015600032
1010468147700
114491aa633a
122041917a18
13caa99c44a
147143c68ba
154140335d5
hex26ff341f4

10468147700 has 72 divisors (see below), whose sum is σ = 23185016064. Its totient is φ = 4101552000.

The previous prime is 10468147699. The next prime is 10468147733. The reversal of 10468147700 is 774186401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110005 + ... + 1119395.

It is an arithmetic number, because the mean of its divisors is an integer number (322014112).

Almost surely, 210468147700 is an apocalyptic number.

10468147700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10468147700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592508032).

10468147700 is an abundant number, since it is smaller than the sum of its proper divisors (12716868364).

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

10468147700 is a wasteful number, since it uses less digits than its factorization.

10468147700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9626 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 10468147700 in words is "ten billion, four hundred sixty-eight million, one hundred forty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 157 284 314 355 628 710 785 1420 1570 1775 3140 3550 3925 7100 7850 9391 11147 15700 18782 22294 37564 44588 46955 55735 93910 111470 187820 222940 234775 278675 469550 557350 666761 939100 1114700 1333522 1474387 2667044 2948774 3333805 5897548 6667610 7371935 13335220 14743870 16669025 29487740 33338050 36859675 66676100 73719350 104681477 147438700 209362954 418725908 523407385 1046814770 2093629540 2617036925 5234073850 10468147700