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38149476733480 = 235741167191104183
BaseRepresentation
bin10001010110010010111100…
…00000100101001000101000
312000002001110121220222111111
420223021132000211020220
520000020112020432410
6213045343324240104
711015131411600360
oct1053113600451050
9160061417828444
1038149476733480
1111179114074572
12434175a6a0034
1318396320725a8
1495c631ac99a0
1546254e90bb8a
hex22b25e025228

38149476733480 has 256 divisors, whose sum is σ = 101623307304960. Its totient is φ = 12617857075200.

The previous prime is 38149476733451. The next prime is 38149476733499. The reversal of 38149476733480 is 8433767494183.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366125469 + ... + 366229651.

It is an arithmetic number, because the mean of its divisors is an integer number (396966044160).

Almost surely, 238149476733480 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 38149476733480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50811653652480).

38149476733480 is an abundant number, since it is smaller than the sum of its proper divisors (63473830571480).

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

38149476733480 is a wasteful number, since it uses less digits than its factorization.

38149476733480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104600 (or 104596 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 67.

The spelling of 38149476733480 in words is "thirty-eight trillion, one hundred forty-nine billion, four hundred seventy-six million, seven hundred thirty-three thousand, four hundred eighty".