Search a number
-
+
70490918006784 = 2123311231251677
BaseRepresentation
bin10000000001110001110010…
…001000001011000000000000
3100020120212101021110102111000
4100001301302020023000000
533214410400002204114
6405531025232052000
720563541442604152
oct2001616210130000
9306525337412430
1070490918006784
112050803757a700
127aa5741994000
13304435a3c6aa2
141359ac880cad2
1582396d152e09
hex401c7220b000

70490918006784 has 1248 divisors, whose sum is σ = 238247729879040. Its totient is φ = 20559052800000.

The previous prime is 70490918006779. The next prime is 70490918006819. The reversal of 70490918006784 is 48760081909407.

70490918006784 is a `hidden beast` number, since 7 + 0 + 490 + 9 + 1 + 8 + 0 + 0 + 67 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104122478254 + ... + 104122478930.

Almost surely, 270490918006784 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 70490918006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119123864939520).

70490918006784 is an abundant number, since it is smaller than the sum of its proper divisors (167756811872256).

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

70490918006784 is a wasteful number, since it uses less digits than its factorization.

70490918006784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 70490918006784 in words is "seventy trillion, four hundred ninety billion, nine hundred eighteen million, six thousand, seven hundred eighty-four".