Search a number
-
+
13931392356 = 22327174097951
BaseRepresentation
bin11001111100110000…
…00010110101100100
31022221220101001120200
430332120002311210
5212012414023411
610222222030500
71002142611150
oct147630026544
938856331520
1013931392356
1159a99a9302
122849718430
13141033a03b
14962338060
155680cee56
hex33e602d64

13931392356 has 144 divisors (see below), whose sum is σ = 42723233280. Its totient is φ = 3736627200.

The previous prime is 13931392313. The next prime is 13931392369. The reversal of 13931392356 is 65329313931.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1748181 + ... + 1756131.

It is an arithmetic number, because the mean of its divisors is an integer number (296689120).

Almost surely, 213931392356 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 13931392356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21361616640).

13931392356 is an abundant number, since it is smaller than the sum of its proper divisors (28791840924).

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

13931392356 is a wasteful number, since it uses less digits than its factorization.

13931392356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394 (or 8389 counting only the distinct ones).

The product of its digits is 393660, while the sum is 45.

The spelling of 13931392356 in words is "thirteen billion, nine hundred thirty-one million, three hundred ninety-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 409 476 612 714 818 1071 1227 1428 1636 2142 2454 2863 3681 4284 4908 5726 6953 7362 7951 8589 11452 13906 14724 15902 17178 20859 23853 25767 27812 31804 34356 41718 47706 48671 51534 55657 62577 71559 83436 95412 97342 103068 111314 125154 135167 143118 146013 166971 194684 222628 250308 270334 286236 292026 333942 405501 438039 500913 540668 584052 667884 811002 876078 946169 1001826 1216503 1622004 1752156 1892338 2003652 2433006 2838507 3251959 3784676 4866012 5677014 6503918 8515521 9755877 11354028 13007836 17031042 19511754 22763713 29267631 34062084 39023508 45527426 55283303 58535262 68291139 91054852 110566606 117070524 136582278 165849909 204873417 221133212 273164556 331699818 386983121 409746834 497549727 663399636 773966242 819493668 995099454 1160949363 1547932484 1990198908 2321898726 3482848089 4643797452 6965696178 13931392356