Search a number
-
+
490634055216 = 24324701772467
BaseRepresentation
bin1110010001111000001…
…00011000111000110000
31201220102010112102100200
413020330010120320300
531014304304231331
61013221050315200
750306240442024
oct7107404307060
91656363472320
10490634055216
1117a093151568
127b108428b00
1337360920c06
1419a65390384
15cb6876d5e6
hex723c118e30

490634055216 has 60 divisors (see below), whose sum is σ = 1373142070872. Its totient is φ = 163538949888.

The previous prime is 490634055199. The next prime is 490634055221. The reversal of 490634055216 is 612550436094.

490634055216 is a `hidden beast` number, since 4 + 9 + 0 + 634 + 0 + 5 + 5 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×4906340552162 (a number of 24 digits) contains 22 as substring.

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, 6734215 + ... + 6806681.

Almost surely, 2490634055216 is an apocalyptic number.

It is an amenable number.

490634055216 is an abundant number, since it is smaller than the sum of its proper divisors (882508015656).

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

490634055216 is a wasteful number, since it uses less digits than its factorization.

490634055216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119498 (or 119489 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 490634055216 in words is "four hundred ninety billion, six hundred thirty-four million, fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 47017 72467 94034 141051 144934 188068 217401 282102 289868 376136 423153 434802 564204 579736 652203 752272 846306 869604 1128408 1159472 1304406 1692612 1739208 2256816 2608812 3385224 3478416 5217624 6770448 10435248 3407180939 6814361878 10221542817 13628723756 20443085634 27257447512 30664628451 40886171268 54514895024 61329256902 81772342536 122658513804 163544685072 245317027608 490634055216