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38217277512 = 2332230392
BaseRepresentation
bin100011100101111011…
…010110000001001000
310122122102112211222200
4203211323112001020
51111232110340022
625320132520200
72522026333101
oct434573260110
9118572484880
1038217277512
1115231725277
1274a6a80060
1337b093169b
141bc79113a8
15eda242bac
hex8e5ed6048

38217277512 has 36 divisors (see below), whose sum is σ = 103509619395. Its totient is φ = 12738539568.

The previous prime is 38217277507. The next prime is 38217277531. The reversal of 38217277512 is 21577271283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 19108638756 + 19108638756 = 138234^2 + 138234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=138234.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1647289 + ... + 1670327.

Almost surely, 238217277512 is an apocalyptic number.

It is an amenable number.

38217277512 is an abundant number, since it is smaller than the sum of its proper divisors (65292341883).

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

38217277512 is an frugal number, since it uses more digits than its factorization.

38217277512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46090 (or 23044 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

It can be divided in two parts, 382172 and 77512, that added together give a square (459684 = 6782).

The spelling of 38217277512 in words is "thirty-eight billion, two hundred seventeen million, two hundred seventy-seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 23039 46078 69117 92156 138234 184312 207351 276468 414702 552936 829404 1658808 530795521 1061591042 1592386563 2123182084 3184773126 4246364168 4777159689 6369546252 9554319378 12739092504 19108638756 38217277512