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13825134480 = 2435311858217
BaseRepresentation
bin11001110000000101…
…01100111110010000
31022200111102121011210
430320002230332100
5211303213300410
610203504340120
7666412463343
oct147002547620
938614377153
1013825134480
115954a23183
12281a014640
1313c4315061
1495219845a
1555dae1220
hex3380acf90

13825134480 has 80 divisors (see below), whose sum is σ = 44240454144. Its totient is φ = 3567774720.

The previous prime is 13825134457. The next prime is 13825134481. The reversal of 13825134480 is 8443152831.

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

It is a super-2 number, since 2×138251344802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13825134481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921669 + ... + 936548.

Almost surely, 213825134480 is an apocalyptic number.

13825134480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13825134480 is an abundant number, since it is smaller than the sum of its proper divisors (30415319664).

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

13825134480 is a wasteful number, since it uses less digits than its factorization.

13825134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858264 (or 1858258 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 13825134480 in words is "thirteen billion, eight hundred twenty-five million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 1858217 3716434 5574651 7432868 9291085 11149302 14865736 18582170 22298604 27873255 29731472 37164340 44597208 55746510 57604727 74328680 89194416 111493020 115209454 148657360 172814181 222986040 230418908 288023635 345628362 445972080 460837816 576047270 691256724 864070905 921675632 1152094540 1382513448 1728141810 2304189080 2765026896 3456283620 4608378160 6912567240 13825134480