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10132540224 = 263331159437
BaseRepresentation
bin10010110111111001…
…00100101101000000
3222011011011101010120
421123330210231000
5131222412241344
64353235300240
7506044112412
oct113374445500
928134141116
1010132540224
11432a611494
121b6944a680
13c562b5241
146c19c49b2
153e483e219
hex25bf24b40

10132540224 has 56 divisors (see below), whose sum is σ = 26890175328. Its totient is φ = 3367288320.

The previous prime is 10132540217. The next prime is 10132540273. The reversal of 10132540224 is 42204523101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10132540194 and 10132540203.

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, 16167 + ... + 143270.

Almost surely, 210132540224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13445087664).

10132540224 is an abundant number, since it is smaller than the sum of its proper divisors (16757635104).

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

10132540224 is a wasteful number, since it uses less digits than its factorization.

10132540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159783 (or 159773 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 10132540224 in words is "ten billion, one hundred thirty-two million, five hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 331 662 993 1324 1986 2648 3972 5296 7944 10592 15888 21184 31776 63552 159437 318874 478311 637748 956622 1275496 1913244 2550992 3826488 5101984 7652976 10203968 15305952 30611904 52773647 105547294 158320941 211094588 316641882 422189176 633283764 844378352 1266567528 1688756704 2533135056 3377513408 5066270112 10132540224