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4254091968 = 263717186191
BaseRepresentation
bin1111110110010000…
…0100101011000000
3101222110211021002210
43331210010223000
532203021420333
61542043542120
7210264120330
oct37544045300
911873737083
104254091968
111893362295
129a882a940
1352a4677a9
142c4db70c0
1519d716a63
hexfd904ac0

4254091968 has 112 divisors (see below), whose sum is σ = 13620317184. Its totient is φ = 1143951360.

The previous prime is 4254091931. The next prime is 4254091969. The reversal of 4254091968 is 8691904524.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×42540919682 = 36194596944404226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4254091969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70248 + ... + 115943.

Almost surely, 24254091968 is an apocalyptic number.

4254091968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4254091968 is an abundant number, since it is smaller than the sum of its proper divisors (9366225216).

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

4254091968 is a wasteful number, since it uses less digits than its factorization.

4254091968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186230 (or 186220 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 4254091968 is about 65223.4004633306. The cubic root of 4254091968 is about 1620.3255922313.

The spelling of 4254091968 in words is "four billion, two hundred fifty-four million, ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 186191 372382 558573 744764 1117146 1303337 1489528 2234292 2606674 2979056 3165247 3910011 4468584 5213348 5958112 6330494 7820022 8937168 9495741 10426696 11916224 12660988 15640044 17874336 18991482 20853392 22156729 25321976 31280088 35748672 37982964 41706784 44313458 50643952 62560176 66470187 75965928 83413568 88626916 101287904 125120352 132940374 151931856 177253832 202575808 250240704 265880748 303863712 354507664 531761496 607727424 709015328 1063522992 1418030656 2127045984 4254091968