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493496395392 = 273721113374957
BaseRepresentation
bin1110010111001101010…
…11010110011010000000
31202011210121112100220210
413023212223112122000
531041140034123032
61014413100234120
750440205102100
oct7134653263200
91664717470823
10493496395392
11180321939060
127b786b3b940
13376c8937320
1419c575a1200
15cc84bbe2cc
hex72e6ad6680

493496395392 has 768 divisors, whose sum is σ = 1840239838080. Its totient is φ = 115099729920.

The previous prime is 493496395369. The next prime is 493496395439. The reversal of 493496395392 is 293593694394.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99552978 + ... + 99557934.

Almost surely, 2493496395392 is an apocalyptic number.

493496395392 is a gapful number since it is divisible by the number (42) 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 493496395392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920119919040).

493496395392 is an abundant number, since it is smaller than the sum of its proper divisors (1346743442688).

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

493496395392 is a wasteful number, since it uses less digits than its factorization.

493496395392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5030 counting only the distinct ones).

The product of its digits is 170061120, while the sum is 66.

It can be divided in two parts, 493496 and 395392, that added together give a palindrome (888888).

The spelling of 493496395392 in words is "four hundred ninety-three billion, four hundred ninety-six million, three hundred ninety-five thousand, three hundred ninety-two".