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10162849360 = 2451131124209
BaseRepresentation
bin10010111011100000…
…01100011001010000
3222020021012020110011
421131300030121100
5131303142134420
64400241044304
7506562536266
oct113560143120
928207166404
1010162849360
114345733164
121b77626694
13c5c667b41
146c5a34436
153e732995a
hex25dc0c650

10162849360 has 40 divisors (see below), whose sum is σ = 23837748840. Its totient is φ = 4029161472.

The previous prime is 10162849357. The next prime is 10162849421. The reversal of 10162849360 is 6394826101.

It can be written as a sum of positive squares in 4 ways, for example, as 712676416 + 9450172944 = 26696^2 + 97212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101628493602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553065 + ... + 571144.

It is an arithmetic number, because the mean of its divisors is an integer number (595943721).

Almost surely, 210162849360 is an apocalyptic number.

10162849360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10162849360 is an abundant number, since it is smaller than the sum of its proper divisors (13674899480).

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

10162849360 is a wasteful number, since it uses less digits than its factorization.

10162849360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124335 (or 1124329 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 10162849360 in words is "ten billion, one hundred sixty-two million, eight hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 1124209 2248418 4496836 5621045 8993672 11242090 17987344 22484180 44968360 89936720 127035617 254071234 508142468 635178085 1016284936 1270356170 2032569872 2540712340 5081424680 10162849360