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13533215740 = 22511167479769
BaseRepresentation
bin11001001101010010…
…00111101111111100
31021221011010120221121
430212221013233330
5210204000400430
610114515440324
7656236302322
oct144651075774
937834116847
1013533215740
115815169320
1227582b60a4
1313789b6685
149254c9d12
1554317ba7a
hex326a47bfc

13533215740 has 96 divisors (see below), whose sum is σ = 31294771200. Its totient is φ = 4875141120.

The previous prime is 13533215659. The next prime is 13533215771. The reversal of 13533215740 is 4751233531.

It is a junction number, because it is equal to n+sod(n) for n = 13533215696 and 13533215705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17598076 + ... + 17598844.

It is an arithmetic number, because the mean of its divisors is an integer number (325987200).

Almost surely, 213533215740 is an apocalyptic number.

13533215740 is a gapful number since it is divisible by the number (10) 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 13533215740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647385600).

13533215740 is an abundant number, since it is smaller than the sum of its proper divisors (17761555460).

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

13533215740 is a wasteful number, since it uses less digits than its factorization.

13533215740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 13533215740 in words is "thirteen billion, five hundred thirty-three million, two hundred fifteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 479 668 769 835 958 1538 1670 1837 1916 2395 3076 3340 3674 3845 4790 5269 7348 7690 8459 9185 9580 10538 15380 16918 18370 21076 26345 33836 36740 42295 52690 79993 84590 105380 128423 159986 169180 256846 319972 368351 399965 513692 642115 736702 799930 879923 1284230 1412653 1473404 1599860 1759846 1841755 2568460 2825306 3519692 3683510 4051861 4399615 5650612 7063265 7367020 8103722 8799230 14126530 16207444 17598460 20259305 28253060 40518610 61514617 81037220 123029234 246058468 307573085 615146170 676660787 1230292340 1353321574 2706643148 3383303935 6766607870 13533215740