Search a number
-
+
10148863120 = 2451111532799
BaseRepresentation
bin10010111001110101…
…10101110010010000
3222012021212122221021
421130322311302100
5131241102104440
64355021205224
7506332625134
oct113472656220
928167778837
1010148863120
114338850090
121b72a00814
13c597aba66
146c3c333c4
153e5eb584a
hex25ceb5c90

10148863120 has 40 divisors (see below), whose sum is σ = 25741209600. Its totient is φ = 3690495360.

The previous prime is 10148863117. The next prime is 10148863169. The reversal of 10148863120 is 2136884101.

10148863120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×101488631202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5765520 + ... + 5767279.

It is an arithmetic number, because the mean of its divisors is an integer number (643530240).

Almost surely, 210148863120 is an apocalyptic number.

10148863120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10148863120 is an abundant number, since it is smaller than the sum of its proper divisors (15592346480).

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

10148863120 is a wasteful number, since it uses less digits than its factorization.

10148863120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532823 (or 11532817 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 10148863120 in words is "ten billion, one hundred forty-eight million, eight hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11532799 23065598 46131196 57663995 92262392 115327990 126860789 184524784 230655980 253721578 461311960 507443156 634303945 922623920 1014886312 1268607890 2029772624 2537215780 5074431560 10148863120