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16317701941968 = 2433735915030823
BaseRepresentation
bin1110110101110100001011…
…0100111110101011010000
32010202221211201000122202000
43231131002310332223100
54114322123144120333
654412125423154000
73302625602662320
oct355350264765320
963687751018660
1016317701941968
115221331387779
1219b6591445900
139149a287959b
14405ad1061280
151d46da6b9713
hexed742d3ead0

16317701941968 has 160 divisors (see below), whose sum is σ = 53678078668800. Its totient is φ = 4649213614464.

The previous prime is 16317701941967. The next prime is 16317701941999. The reversal of 16317701941968 is 86914910771361.

16317701941968 is a `hidden beast` number, since 1 + 6 + 317 + 70 + 194 + 1 + 9 + 68 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16317701941967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6429796 + ... + 8601027.

It is an arithmetic number, because the mean of its divisors is an integer number (335487991680).

Almost surely, 216317701941968 is an apocalyptic number.

16317701941968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16317701941968 is an abundant number, since it is smaller than the sum of its proper divisors (37360376726832).

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

16317701941968 is a wasteful number, since it uses less digits than its factorization.

16317701941968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15031206 (or 15031194 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 16317701941968 in words is "sixteen trillion, three hundred seventeen billion, seven hundred one million, nine hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 359 378 432 504 718 756 1008 1077 1436 1512 2154 2513 2872 3024 3231 4308 5026 5744 6462 7539 8616 9693 10052 12924 15078 17232 19386 20104 22617 25848 30156 38772 40208 45234 51696 60312 67851 77544 90468 120624 135702 155088 180936 271404 361872 542808 1085616 15030823 30061646 45092469 60123292 90184938 105215761 120246584 135277407 180369876 210431522 240493168 270554814 315647283 360739752 405832221 420863044 541109628 631294566 721479504 811664442 841726088 946941849 1082219256 1262589132 1623328884 1683452176 1893883698 2164438512 2525178264 2840825547 3246657768 3787767396 5050356528 5396065457 5681651094 6493315536 7575534792 10792130914 11363302188 15151069584 16188196371 21584261828 22726604376 32376392742 37772458199 43168523656 45453208752 48564589113 64752785484 75544916398 86337047312 97129178226 113317374597 129505570968 145693767339 151089832796 194258356452 226634749194 259011141936 291387534678 302179665592 339952123791 388516712904 453269498388 582775069356 604359331184 679904247582 777033425808 906538996776 1019856371373 1165550138712 1359808495164 1813077993552 2039712742746 2331100277424 2719616990328 4079425485492 5439233980656 8158850970984 16317701941968