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498239250432 = 21337211291297
BaseRepresentation
bin1110100000000010101…
…11111010000000000000
31202122001011001100220120
413100001113322000000
531130343222003212
61020515444140240
750665555515600
oct7200127720000
91678034040816
10498239250432
11182336082270
128068b397680
1337ca3421321
141a187446c00
15ce6127e88c
hex74015fa000

498239250432 has 672 divisors, whose sum is σ = 1745442198720. Its totient is φ = 124853944320.

The previous prime is 498239250359. The next prime is 498239250511. The reversal of 498239250432 is 234052932894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384146808 + ... + 384148104.

Almost surely, 2498239250432 is an apocalyptic number.

498239250432 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 498239250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872721099360).

498239250432 is an abundant number, since it is smaller than the sum of its proper divisors (1247202948288).

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

498239250432 is a wasteful number, since it uses less digits than its factorization.

498239250432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 498239250432 in words is "four hundred ninety-eight billion, two hundred thirty-nine million, two hundred fifty thousand, four hundred thirty-two".