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13194138576 = 243432148663
BaseRepresentation
bin11000100100110111…
…01001001111010000
31021001112002200112010
430102123221033100
5204010144413301
610021124102520
7644651220213
oct142233511720
937045080463
1013194138576
115660824663
122682834a40
1313236860b8
148d246377a
155234ee5d6
hex3126e93d0

13194138576 has 60 divisors (see below), whose sum is σ = 34896198048. Its totient is φ = 4295737152.

The previous prime is 13194138521. The next prime is 13194138589. The reversal of 13194138576 is 67583149131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14421 + ... + 163083.

Almost surely, 213194138576 is an apocalyptic number.

13194138576 is a gapful number since it is divisible by the number (16) 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 13194138576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448099024).

13194138576 is an abundant number, since it is smaller than the sum of its proper divisors (21702059472).

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

13194138576 is a wasteful number, since it uses less digits than its factorization.

13194138576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148760 (or 148711 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The spelling of 13194138576 in words is "thirteen billion, one hundred ninety-four million, one hundred thirty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1849 2064 3698 5547 7396 11094 14792 22188 29584 44376 88752 148663 297326 445989 594652 891978 1189304 1783956 2378608 3567912 6392509 7135824 12785018 19177527 25570036 38355054 51140072 76710108 102280144 153420216 274877887 306840432 549755774 824633661 1099511548 1649267322 2199023096 3298534644 4398046192 6597069288 13194138576