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38260208128 = 29417923071
BaseRepresentation
bin100011101000011111…
…000111001000000000
310122202102022221201111
4203220133013020000
51111324103130003
625324305013104
72523060255202
oct435037071000
9118672287644
1038260208128
111525398771a
1274b9324194
1337b97b310c
141bcd4c8772
15edddc2e6d
hex8e87c7200

38260208128 has 80 divisors (see below), whose sum is σ = 79304924160. Its totient is φ = 18426470400.

The previous prime is 38260208071. The next prime is 38260208137. The reversal of 38260208128 is 82180206283.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1646833 + ... + 1669903.

It is an arithmetic number, because the mean of its divisors is an integer number (991311552).

Almost surely, 238260208128 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 38260208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39652462080).

38260208128 is an abundant number, since it is smaller than the sum of its proper divisors (41044716032).

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

38260208128 is an equidigital number, since it uses as much as digits as its factorization.

38260208128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23209 (or 23193 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 38260208128 in words is "thirty-eight billion, two hundred sixty million, two hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 64 79 82 128 158 164 256 316 328 512 632 656 1264 1312 2528 2624 3239 5056 5248 6478 10112 10496 12956 20224 20992 23071 25912 40448 46142 51824 92284 103648 184568 207296 369136 414592 738272 829184 945911 1476544 1658368 1822609 1891822 2953088 3645218 3783644 5906176 7290436 7567288 11812352 14580872 15134576 29161744 30269152 58323488 60538304 74726969 116646976 121076608 149453938 233293952 242153216 298907876 466587904 484306432 597815752 933175808 1195631504 2391263008 4782526016 9565052032 19130104064 38260208128