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38870094025 = 52724321312
BaseRepresentation
bin100100001100110101…
…101001000011001001
310201022220221100220001
4210030311221003021
51114101221002100
625505013003001
72544144230200
oct441465510311
9121286840801
1038870094025
1115537177a54
127649623461
133885c60649
141c4a4c6237
1510276e4d6a
hex90cd690c9

38870094025 has 81 divisors (see below), whose sum is σ = 57843891783. Its totient is φ = 25835191200.

The previous prime is 38870094017. The next prime is 38870094061. The reversal of 38870094025 is 52049007883.

The square root of 38870094025 is 197155.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13993233849 + 24876860176 = 118293^2 + 157724^2 .

It is not a de Polignac number, because 38870094025 - 23 = 38870094017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 296718210 + ... + 296718340.

Almost surely, 238870094025 is an apocalyptic number.

38870094025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38870094025 is the 197155-th square number.

38870094025 is the 98578-th centered octagonal number.

It is an amenable number.

38870094025 is a deficient number, since it is larger than the sum of its proper divisors (18973797758).

38870094025 is an equidigital number, since it uses as much as digits as its factorization.

38870094025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 38870094025 in words is "thirty-eight billion, eight hundred seventy million, ninety-four thousand, twenty-five".

Divisors: 1 5 7 25 35 43 49 131 175 215 245 301 655 917 1075 1225 1505 1849 2107 3275 4585 5633 6419 7525 9245 10535 12943 17161 22925 28165 32095 39431 46225 52675 64715 85805 90601 120127 140825 160475 197155 242219 276017 323575 429025 453005 600635 737923 840889 985775 1211095 1380085 1695533 2265025 3003175 3689615 4204445 5165461 6055475 6900425 8477665 11868731 18448075 21022225 25827305 31730689 36158227 42388325 59343655 129136525 158653445 180791135 222114823 296718275 793267225 903955675 1110574115 1554803761 5552870575 7774018805 38870094025