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13530023532 = 22323119960923
BaseRepresentation
bin11001001100111001…
…11100011001101100
31021220221010102001200
430212130330121230
5210202141223112
610114323205500
7656200205514
oct144634743154
937827112050
1013530023532
115813388a33
122757216890
1313781396ac
14924cd8844
15542c4acdc
hex32673c66c

13530023532 has 72 divisors (see below), whose sum is σ = 35482137600. Its totient is φ = 4342520160.

The previous prime is 13530023531. The next prime is 13530023543. The reversal of 13530023532 is 23532003531.

13530023532 is a `hidden beast` number, since 1 + 3 + 5 + 300 + 2 + 353 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13530023496 and 13530023505.

It is not an unprimeable number, because it can be changed into a prime (13530023531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191623 + ... + 252545.

Almost surely, 213530023532 is an apocalyptic number.

13530023532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13530023532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17741068800).

13530023532 is an abundant number, since it is smaller than the sum of its proper divisors (21952114068).

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

13530023532 is a wasteful number, since it uses less digits than its factorization.

13530023532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61163 (or 61158 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 13530023532 in words is "thirteen billion, five hundred thirty million, twenty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 199 279 372 398 558 597 796 1116 1194 1791 2388 3582 6169 7164 12338 18507 24676 37014 55521 60923 74028 111042 121846 182769 222084 243692 365538 548307 731076 1096614 1888613 2193228 3777226 5665839 7554452 11331678 12123677 16997517 22663356 24247354 33995034 36371031 48494708 67990068 72742062 109113093 145484124 218226186 375833987 436452372 751667974 1127501961 1503335948 2255003922 3382505883 4510007844 6765011766 13530023532