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638481479431536 = 243313173126959033
BaseRepresentation
bin1001000100101100100000110…
…1110001101111010101110000
310002201200020022002110200121000
42101023020031301233111300
51132141340032213302121
610141534201543002000
7251325523160421666
oct22113101561572560
93081606262420530
10638481479431536
11175492524a634a4
125b739ba3739300
1321535711953330
14b3949504a2c36
154dc357db09526
hex244b20dc6f570

638481479431536 has 480 divisors, whose sum is σ = 2159337031709760. Its totient is φ = 178935084564480.

The previous prime is 638481479431511. The next prime is 638481479431591. The reversal of 638481479431536 is 635134974184836.

638481479431536 is a `hidden beast` number, since 6 + 3 + 8 + 4 + 8 + 1 + 47 + 9 + 43 + 1 + 536 = 666.

It is a super-2 number, since 2×6384814794315362 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88269076 + ... + 95228108.

It is an arithmetic number, because the mean of its divisors is an integer number (4498618816062).

Almost surely, 2638481479431536 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 638481479431536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079668515854880).

638481479431536 is an abundant number, since it is smaller than the sum of its proper divisors (1520855552278224).

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

638481479431536 is a wasteful number, since it uses less digits than its factorization.

638481479431536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959142 (or 6959099 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 638481479431536 in words is "six hundred thirty-eight trillion, four hundred eighty-one billion, four hundred seventy-nine million, four hundred thirty-one thousand, five hundred thirty-six".