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13541694960 = 243582768227
BaseRepresentation
bin11001001110010010…
…11101110111110000
31021221202002101020210
430213021131313300
5210213133214320
610115421304120
7656401336143
oct144711356760
937852071223
1013541694960
115819a2a942
12275b105040
13137a694c71
1492669605a
15543ca40e0
hex32725ddf0

13541694960 has 80 divisors (see below), whose sum is σ = 42030631296. Its totient is φ = 3606699264.

The previous prime is 13541694941. The next prime is 13541694967. The reversal of 13541694960 is 6949614531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13541694967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164367 + ... + 232593.

Almost surely, 213541694960 is an apocalyptic number.

13541694960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13541694960 is an abundant number, since it is smaller than the sum of its proper divisors (28488936336).

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

13541694960 is a wasteful number, since it uses less digits than its factorization.

13541694960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69070 (or 69064 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 13541694960 in words is "thirteen billion, five hundred forty-one million, six hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 827 1654 2481 3308 4135 4962 6616 8270 9924 12405 13232 16540 19848 24810 33080 39696 49620 66160 68227 99240 136454 198480 204681 272908 341135 409362 545816 682270 818724 1023405 1091632 1364540 1637448 2046810 2729080 3274896 4093620 5458160 8187240 16374480 56423729 112847458 169271187 225694916 282118645 338542374 451389832 564237290 677084748 846355935 902779664 1128474580 1354169496 1692711870 2256949160 2708338992 3385423740 4513898320 6770847480 13541694960