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14893937968 = 24713193714551
BaseRepresentation
bin11011101111011111…
…10111010100110000
31102102222120102221011
431313233313110300
5221000322003333
610501524440304
71035041245450
oct156757672460
942388512834
1014893937968
116353270048
122a77b49094
131534892260
14a140d5d60
155c28639cd
hex377bf7530

14893937968 has 160 divisors (see below), whose sum is σ = 38398653440. Its totient is φ = 5430758400.

The previous prime is 14893937957. The next prime is 14893937999. The reversal of 14893937968 is 86973939841.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1016293 + ... + 1030843.

It is an arithmetic number, because the mean of its divisors is an integer number (239991584).

Almost surely, 214893937968 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 14893937968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19199326720).

14893937968 is an abundant number, since it is smaller than the sum of its proper divisors (23504715472).

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

14893937968 is a wasteful number, since it uses less digits than its factorization.

14893937968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14635 (or 14629 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 67.

The spelling of 14893937968 in words is "fourteen billion, eight hundred ninety-three million, nine hundred thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 37 38 52 56 74 76 91 104 112 133 148 152 182 208 247 259 266 296 304 364 481 494 518 532 592 703 728 962 988 1036 1064 1406 1456 1729 1924 1976 2072 2128 2812 3367 3458 3848 3952 4144 4921 5624 6734 6916 7696 9139 9842 11248 13468 13832 14551 18278 19684 26936 27664 29102 36556 39368 53872 58204 63973 73112 78736 101857 116408 127946 146224 189163 203714 232816 255892 276469 378326 407428 511784 538387 552938 756652 814856 1023568 1076774 1105876 1324141 1513304 1629712 1935283 2153548 2211752 2648282 3026608 3594097 3768709 3870566 4307096 4423504 5296564 6999031 7188194 7537418 7741132 8614192 10229353 10593128 13998062 14376388 15074836 15482264 20458706 21186256 25158679 27996124 28752776 30149672 30964528 40917412 48993217 50317358 55992248 57505552 60299344 71605471 81834824 97986434 100634716 111984496 132981589 143210942 163669648 195972868 201269432 265963178 286421884 391945736 402538864 531926356 572843768 783891472 930871123 1063852712 1145687536 1861742246 2127705424 3723484492 7446968984 14893937968