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10448480232 = 2332831748407
BaseRepresentation
bin10011011101100011…
…10010011111101000
3222222011122210100100
421232301302133220
5132344302331412
64444443105400
7516631421331
oct115661623750
928864583310
1010448480232
114481992933
122037212260
13ca68a44a8
14711947288
1541244aedc
hex26ec727e8

10448480232 has 48 divisors (see below), whose sum is σ = 28638923040. Its totient is φ = 3440863008.

The previous prime is 10448480213. The next prime is 10448480239. The reversal of 10448480232 is 23208484401.

10448480232 is a `hidden beast` number, since 104 + 48 + 480 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10448480239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868228 + ... + 880179.

It is an arithmetic number, because the mean of its divisors is an integer number (596644230).

Almost surely, 210448480232 is an apocalyptic number.

10448480232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10448480232 is an abundant number, since it is smaller than the sum of its proper divisors (18190442808).

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

10448480232 is a wasteful number, since it uses less digits than its factorization.

10448480232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748502 (or 1748495 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 10448480232 in words is "ten billion, four hundred forty-eight million, four hundred eighty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 1748407 3496814 5245221 6993628 10490442 13987256 15735663 20980884 31471326 41961768 62942652 125885304 145117781 290235562 435353343 580471124 870706686 1160942248 1306060029 1741413372 2612120058 3482826744 5224240116 10448480232