Search a number
-
+
13592057953872 = 243178322417903
BaseRepresentation
bin1100010111001010010111…
…0010010011111001010000
31210010101110212222211122010
43011302211302103321100
53240143013314010442
644524034421142520
72601664603232106
oct305624562237120
953111425884563
1013592057953872
1143703a5409502
12163629485aa40
137779580b4338
1434dc055a9c76
15188862155b9c
hexc5ca5c93e50

13592057953872 has 120 divisors (see below), whose sum is σ = 37631619529344. Its totient is φ = 4212797699072.

The previous prime is 13592057953867. The next prime is 13592057953909. The reversal of 13592057953872 is 27835975029531.

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, 4412473 + ... + 6830375.

Almost surely, 213592057953872 is an apocalyptic number.

13592057953872 is a gapful number since it is divisible by the number (12) 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 13592057953872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18815809764672).

13592057953872 is an abundant number, since it is smaller than the sum of its proper divisors (24039561575472).

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

13592057953872 is a wasteful number, since it uses less digits than its factorization.

13592057953872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418097 (or 2418008 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 66.

The spelling of 13592057953872 in words is "thirteen trillion, five hundred ninety-two billion, fifty-seven million, nine hundred fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 204 249 272 332 408 498 664 816 996 1328 1411 1992 2822 3984 4233 5644 6889 8466 11288 13778 16932 20667 22576 27556 33864 41334 55112 67728 82668 110224 117113 165336 234226 330672 351339 468452 702678 936904 1405356 1873808 2417903 2810712 4835806 5621424 7253709 9671612 14507418 19343224 29014836 38686448 41104351 58029672 82208702 116059344 123313053 164417404 200685949 246626106 328834808 401371898 493252212 602057847 657669616 802743796 986504424 1204115694 1605487592 1973008848 2408231388 3210975184 3411661133 4816462776 6823322266 9632925552 10234983399 13646644532 16656933767 20469966798 27293289064 33313867534 40939933596 49970801301 54586578128 66627735068 81879867192 99941602602 133255470136 163759734384 199883205204 266510940272 283167874039 399766410408 566335748078 799532820816 849503622117 1132671496156 1699007244234 2265342992312 3398014488468 4530685984624 6796028976936 13592057953872