Search a number
-
+
10830466752 = 26378058383
BaseRepresentation
bin10100001011000101…
…11100111011000000
31000221210102201100020
422011202330323000
5134140044414002
64550410253440
7532250306550
oct120542747300
930853381306
1010830466752
114658574a76
122123127280
131037a79911
1474a57d160
15435c522bc
hex2858bcec0

10830466752 has 56 divisors (see below), whose sum is σ = 32749272576. Its totient is φ = 3094418688.

The previous prime is 10830466741. The next prime is 10830466769. The reversal of 10830466752 is 25766403801.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4027848 + ... + 4030535.

Almost surely, 210830466752 is an apocalyptic number.

10830466752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10830466752 is an abundant number, since it is smaller than the sum of its proper divisors (21918805824).

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

10830466752 is an equidigital number, since it uses as much as digits as its factorization.

10830466752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058405 (or 8058395 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 10830466752 in words is "ten billion, eight hundred thirty million, four hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 8058383 16116766 24175149 32233532 48350298 56408681 64467064 96700596 112817362 128934128 169226043 193401192 225634724 257868256 338452086 386802384 451269448 515736512 676904172 773604768 902538896 1353808344 1547209536 1805077792 2707616688 3610155584 5415233376 10830466752