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497738701152 = 2532711297997101
BaseRepresentation
bin1110011111000111000…
…10011101100101100000
31202120202021011211101100
413033203202131211200
531123332101414102
61020354043434400
750650300103340
oct7174342354540
91676667154340
10497738701152
111820a9580180
128056b825a00
1337c23806214
141a13ab8ad20
15ce32358a1c
hex73e389d960

497738701152 has 1152 divisors, whose sum is σ = 1886221209600. Its totient is φ = 120766464000.

The previous prime is 497738701087. The next prime is 497738701189. The reversal of 497738701152 is 251107837794.

497738701152 is a `hidden beast` number, since 49 + 77 + 387 + 0 + 1 + 152 = 666.

497738701152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4977387011522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4928105902 + ... + 4928106002.

It is an arithmetic number, because the mean of its divisors is an integer number (1637344800).

Almost surely, 2497738701152 is an apocalyptic number.

497738701152 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 497738701152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943110604800).

497738701152 is an abundant number, since it is smaller than the sum of its proper divisors (1388482508448).

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

497738701152 is a wasteful number, since it uses less digits than its factorization.

497738701152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 497738701152 in words is "four hundred ninety-seven billion, seven hundred thirty-eight million, seven hundred one thousand, one hundred fifty-two".