Search a number
-
+
493979742912 = 263174714921611
BaseRepresentation
bin1110011000000110111…
…11001011001011000000
31202020001022000222001210
413030003133023023000
531043132303233122
61014533044130120
750455164351405
oct7140337131300
91666038028053
10493979742912
1118054a761217
127b8a0996940
1337774b0b886
1419ca18602ac
15ccb234840c
hex73037cb2c0

493979742912 has 224 divisors, whose sum is σ = 1422864921600. Its totient is φ = 150651781120.

The previous prime is 493979742887. The next prime is 493979742913. The reversal of 493979742912 is 219247979394.

It is a super-2 number, since 2×4939797429122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (493979742913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22846987 + ... + 22868597.

Almost surely, 2493979742912 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 493979742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711432460800).

493979742912 is an abundant number, since it is smaller than the sum of its proper divisors (928885178688).

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

493979742912 is a wasteful number, since it uses less digits than its factorization.

493979742912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21839 (or 21829 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 66.

The spelling of 493979742912 in words is "four hundred ninety-three billion, nine hundred seventy-nine million, seven hundred forty-two thousand, nine hundred twelve".