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10162745840 = 2451319514309
BaseRepresentation
bin10010111011011111…
…10011000111110000
3222020020222222110002
421131233303013300
5131303130331330
64400234525132
7506561625422
oct113557630760
928206888402
1010162745840
114345672405
121b775967a8
13c5c62c9a0
146c5a08812
153e7308e45
hex25dbf31f0

10162745840 has 80 divisors (see below), whose sum is σ = 26785264800. Its totient is φ = 3554896896.

The previous prime is 10162745839. The next prime is 10162745863. The reversal of 10162745840 is 4854726101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 10162745794 and 10162745803.

It is a congruent number.

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, 237395 + ... + 276914.

It is an arithmetic number, because the mean of its divisors is an integer number (334815810).

Almost surely, 210162745840 is an apocalyptic number.

10162745840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10162745840 is an abundant number, since it is smaller than the sum of its proper divisors (16622518960).

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

10162745840 is a wasteful number, since it uses less digits than its factorization.

10162745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514354 (or 514348 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 10162745840 in words is "ten billion, one hundred sixty-two million, seven hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 514309 1028618 2057236 2571545 4114472 5143090 6686017 8228944 9771871 10286180 13372034 19543742 20572360 26744068 33430085 39087484 41144720 48859355 53488136 66860170 78174968 97718710 106976272 127034323 133720340 156349936 195437420 254068646 267440680 390874840 508137292 534881360 635171615 781749680 1016274584 1270343230 2032549168 2540686460 5081372920 10162745840