Search a number
-
+
10341481968 = 243280818887
BaseRepresentation
bin10011010000110011…
…00111110111110000
3222200201022201022200
421220121213313300
5132134404410333
64430101503200
7514162101126
oct115031476760
928621281280
1010341481968
114427551514
122007411b00
13c8a6804cc
14701653916
15407d62c13
hex268667df0

10341481968 has 60 divisors (see below), whose sum is σ = 28948624848. Its totient is φ = 3446346240.

The previous prime is 10341481949. The next prime is 10341481979. The reversal of 10341481968 is 86918414301.

10341481968 is a `hidden beast` number, since 103 + 4 + 1 + 481 + 9 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1159221 + ... + 1168107.

Almost surely, 210341481968 is an apocalyptic number.

10341481968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10341481968 is an abundant number, since it is smaller than the sum of its proper divisors (18607142880).

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

10341481968 is a wasteful number, since it uses less digits than its factorization.

10341481968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16982 (or 16973 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10341481968 in words is "ten billion, three hundred forty-one million, four hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8081 8887 16162 17774 24243 26661 32324 35548 48486 53322 64648 71096 72729 79983 96972 106644 129296 142192 145458 159966 193944 213288 290916 319932 387888 426576 581832 639864 1163664 1279728 71815847 143631694 215447541 287263388 430895082 574526776 646342623 861790164 1149053552 1292685246 1723580328 2585370492 3447160656 5170740984 10341481968