Search a number
-
+
13193942904 = 2334105119373
BaseRepresentation
bin11000100100110101…
…11001011101111000
31021001111201202010000
430102122321131320
5204010122133104
610021115553000
7644646443562
oct142232713570
937044652100
1013193942904
11566070064a
12268275b760
13132361800c
148d2412332
155234b1639
hex3126b9778

13193942904 has 80 divisors (see below), whose sum is σ = 36992328120. Its totient is φ = 4393569600.

The previous prime is 13193942897. The next prime is 13193942911. The reversal of 13193942904 is 40924939131.

13193942904 is a `hidden beast` number, since 131 + 93 + 9 + 429 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13193942897) and next prime (13193942911).

It is a self number, because there is not a number n which added to its sum of digits gives 13193942904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 671362 + ... + 690734.

Almost surely, 213193942904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13193942904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496164060).

13193942904 is an abundant number, since it is smaller than the sum of its proper divisors (23798385216).

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

13193942904 is a wasteful number, since it uses less digits than its factorization.

13193942904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20442 (or 20429 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13193942904 in words is "thirteen billion, one hundred ninety-three million, nine hundred forty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1051 2102 3153 4204 6306 8408 9459 12612 18918 19373 25224 28377 37836 38746 56754 58119 75672 77492 85131 113508 116238 154984 170262 174357 227016 232476 340524 348714 464952 523071 681048 697428 1046142 1394856 1569213 2092284 3138426 4184568 6276852 12553704 20361023 40722046 61083069 81444092 122166138 162888184 183249207 244332276 366498414 488664552 549747621 732996828 1099495242 1465993656 1649242863 2198990484 3298485726 4397980968 6596971452 13193942904