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13154025480 = 2335535413823
BaseRepresentation
bin11000100000000101…
…01000000000001000
31020221201121201200220
430100002220000020
5203414412303410
610013132230040
7643653241341
oct142002500010
936851551626
1013154025480
115640117042
12267130b320
13131827cc3b
148cadc10c8
1551ec29070
hex3100a8008

13154025480 has 128 divisors (see below), whose sum is σ = 40291499520. Its totient is φ = 3434296320.

The previous prime is 13154025463. The next prime is 13154025529. The reversal of 13154025480 is 8452045131.

It is a Cunningham number, because it is equal to 1146912-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3438849 + ... + 3442671.

It is an arithmetic number, because the mean of its divisors is an integer number (314777340).

Almost surely, 213154025480 is an apocalyptic number.

13154025480 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 13154025480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145749760).

13154025480 is an abundant number, since it is smaller than the sum of its proper divisors (27137474040).

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

13154025480 is a wasteful number, since it uses less digits than its factorization.

13154025480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 13154025480 in words is "thirteen billion, one hundred fifty-four million, twenty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 541 636 795 1060 1082 1272 1590 1623 2120 2164 2705 3180 3246 3823 4328 5410 6360 6492 7646 8115 10820 11469 12984 15292 16230 19115 21640 22938 28673 30584 32460 38230 45876 57345 57346 64920 76460 86019 91752 114690 114692 143365 152920 172038 202619 229380 229384 286730 344076 405238 430095 458760 573460 607857 688152 810476 860190 1013095 1146920 1215714 1620952 1720380 2026190 2068243 2431428 3039285 3440760 4052380 4136486 4862856 6078570 6204729 8104760 8272972 10341215 12157140 12409458 16545944 20682430 24314280 24818916 31023645 41364860 49637832 62047290 82729720 109616879 124094580 219233758 248189160 328850637 438467516 548084395 657701274 876935032 1096168790 1315402548 1644253185 2192337580 2630805096 3288506370 4384675160 6577012740 13154025480