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13540543640 = 2351328324133
BaseRepresentation
bin11001001110001010…
…00100110010011000
31021221122220212221022
430213011010302120
5210212334344030
610115340502012
7656355502421
oct144705046230
937848825838
1013540543640
115819313938
12275a84a908
13137a380c00
14926476648
15543b27de5
hex327144c98

13540543640 has 96 divisors (see below), whose sum is σ = 33388906320. Its totient is φ = 4939144704.

The previous prime is 13540543619. The next prime is 13540543703. The reversal of 13540543640 is 4634504531.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13540543640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549014 + ... + 573146.

Almost surely, 213540543640 is an apocalyptic number.

13540543640 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 13540543640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694453160).

13540543640 is an abundant number, since it is smaller than the sum of its proper divisors (19848362680).

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

13540543640 is a wasteful number, since it uses less digits than its factorization.

13540543640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24253 (or 24236 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 13540543640 in words is "thirteen billion, five hundred forty million, five hundred forty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 83 104 130 166 169 260 332 338 415 520 664 676 830 845 1079 1352 1660 1690 2158 3320 3380 4316 5395 6760 8632 10790 14027 21580 24133 28054 43160 48266 56108 70135 96532 112216 120665 140270 193064 241330 280540 313729 482660 561080 627458 965320 1254916 1568645 2003039 2509832 3137290 4006078 4078477 6274580 8012156 8156954 10015195 12549160 16024312 16313908 20030390 20392385 26039507 32627816 40060780 40784770 52079014 80121560 81569540 104158028 130197535 163139080 208316056 260395070 338513591 520790140 677027182 1041580280 1354054364 1692567955 2708108728 3385135910 6770271820 13540543640