Search a number
-
+
74793254694912 = 21235132444641
BaseRepresentation
bin10001000000011000101001…
…011000001011000000000000
3100210211011110111222012200000
4101000120221120023000000
534300403041200214122
6423023314042400000
721516430401216525
oct2100305130130000
9323734414865600
1074793254694912
1121916706467986
12847b525800000
133296c87170500
14146802734d14c
1589a8269d90ac
hex44062960b000

74793254694912 has 468 divisors, whose sum is σ = 242605075376664. Its totient is φ = 23013257379840.

The previous prime is 74793254694901. The next prime is 74793254694959. The reversal of 74793254694912 is 21949645239747.

74793254694912 is a `hidden beast` number, since 7 + 4 + 7 + 9 + 32 + 546 + 9 + 49 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a super-3 number, since 3×747932546949123 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167988112 + ... + 168432752.

It is an arithmetic number, because the mean of its divisors is an integer number (518386913198).

Almost surely, 274793254694912 is an apocalyptic number.

74793254694912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74793254694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121302537688332).

74793254694912 is an abundant number, since it is smaller than the sum of its proper divisors (167811820681752).

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

74793254694912 is an equidigital number, since it uses as much as digits as its factorization.

74793254694912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444706 (or 444659 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 74793254694912 in words is "seventy-four trillion, seven hundred ninety-three billion, two hundred fifty-four million, six hundred ninety-four thousand, nine hundred twelve".