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10329011532 = 2232740988141
BaseRepresentation
bin10011001111010100…
…00011010101001100
3222122211212011002200
421213222003111030
5132123211332112
64424534321500
7513651102150
oct114752032514
928584764080
1010329011532
114420504274
1220031b9290
13c87c05358
146ddb29060
15406beccdc
hex267a8354c

10329011532 has 36 divisors (see below), whose sum is σ = 29839367376. Its totient is φ = 2951146080.

The previous prime is 10329011531. The next prime is 10329011533. The reversal of 10329011532 is 23511092301.

10329011532 is a `hidden beast` number, since 1 + 0 + 32 + 90 + 11 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (10329011531) and next prime (10329011533).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10329011496 and 10329011505.

It is not an unprimeable number, because it can be changed into a prime (10329011531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20493819 + ... + 20494322.

It is an arithmetic number, because the mean of its divisors is an integer number (828871316).

Almost surely, 210329011532 is an apocalyptic number.

10329011532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10329011532 is an abundant number, since it is smaller than the sum of its proper divisors (19510355844).

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

10329011532 is a wasteful number, since it uses less digits than its factorization.

10329011532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40988158 (or 40988153 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10329011532 in words is "ten billion, three hundred twenty-nine million, eleven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 40988141 81976282 122964423 163952564 245928846 286916987 368893269 491857692 573833974 737786538 860750961 1147667948 1475573076 1721501922 2582252883 3443003844 5164505766 10329011532