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13930880656 = 24711173717977
BaseRepresentation
bin11001111100101100…
…00101111010010000
31022221212102001122211
430332112011322100
5212012301140111
610222203041504
71002135350260
oct147626057220
938855361584
1013930880656
1159a9689910
122849510294
1314101bb164
149622437a0
1556802d521
hex33e585e90

13930880656 has 160 divisors (see below), whose sum is σ = 36595729152. Its totient is φ = 4970004480.

The previous prime is 13930880653. The next prime is 13930880669. The reversal of 13930880656 is 65608803931.

13930880656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13930880653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765940 + ... + 783916.

Almost surely, 213930880656 is an apocalyptic number.

13930880656 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 13930880656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18297864576).

13930880656 is an abundant number, since it is smaller than the sum of its proper divisors (22664848496).

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

13930880656 is a wasteful number, since it uses less digits than its factorization.

13930880656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18057 (or 18051 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 13930880656 in words is "thirteen billion, nine hundred thirty million, eight hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 37 44 56 68 74 77 88 112 119 136 148 154 176 187 238 259 272 296 308 374 407 476 518 592 616 629 748 814 952 1036 1232 1258 1309 1496 1628 1904 2072 2516 2618 2849 2992 3256 4144 4403 5032 5236 5698 6512 6919 8806 10064 10472 11396 13838 17612 17977 20944 22792 27676 35224 35954 45584 48433 55352 70448 71908 96866 110704 125839 143816 193732 197747 251678 287632 305609 387464 395494 503356 611218 665149 774928 790988 1006712 1222436 1330298 1384229 1581976 2013424 2139263 2444872 2660596 2768458 3163952 3361699 4278526 4656043 4889744 5321192 5536916 6723398 7316639 8557052 9312086 10642384 11073832 11307533 13446796 14633278 17114104 18624172 22147664 22615066 23531893 26893592 29266556 34228208 37248344 45230132 47063786 51216473 53787184 58533112 74496688 79152731 90460264 94127572 102432946 117066224 124382863 158305462 180920528 188255144 204865892 248765726 316610924 376510288 409731784 497531452 633221848 819463568 870680041 995062904 1266443696 1741360082 1990125808 3482720164 6965440328 13930880656