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497642603040 = 253451129120371
BaseRepresentation
bin1110011110111011100…
…11111000001000100000
31202120111120100112120000
413033131303320020200
531123133001244130
61020340332020000
750645022222042
oct7173563701040
91676446315500
10497642603040
1118205a304250
1280543601600
1337c0992a72b
141a12c0d3a92
15ce28bc5260
hex73ddcf8220

497642603040 has 480 divisors, whose sum is σ = 1982006832960. Its totient is φ = 116479641600.

The previous prime is 497642603027. The next prime is 497642603053. The reversal of 497642603040 is 40306246794.

It is a happy number.

497642603040 is a `hidden beast` number, since 497 + 64 + 2 + 60 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (497642603027) and next prime (497642603053).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4074055 + ... + 4194425.

It is an arithmetic number, because the mean of its divisors is an integer number (4129180902).

Almost surely, 2497642603040 is an apocalyptic number.

497642603040 is a gapful number since it is divisible by the number (40) 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 497642603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991003416480).

497642603040 is an abundant number, since it is smaller than the sum of its proper divisors (1484364229920).

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

497642603040 is a wasteful number, since it uses less digits than its factorization.

497642603040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120438 (or 120421 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 497642603040 in words is "four hundred ninety-seven billion, six hundred forty-two million, six hundred three thousand, forty".