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38847621604 = 22112174312
BaseRepresentation
bin100100001011011111…
…111010100111100100
310201021100122122112011
4210023133322213210
51114024442342404
625502451204004
72543452223011
oct441337724744
9121240578464
1038847621604
1115525519100
127641ba6604
1338813c2a5c
141c47516708
151025756604
hex90b7fa9e4

38847621604 has 135 divisors (see below), whose sum is σ = 82039545903. Its totient is φ = 16083196800.

The previous prime is 38847621569. The next prime is 38847621607. The reversal of 38847621604 is 40612674883.

The square root of 38847621604 is 197098.

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

It can be written as a sum of positive squares in 2 ways, for example, as 12056479204 + 26791142400 = 109802^2 + 163680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38847621607) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1253149069 + ... + 1253149099.

Almost surely, 238847621604 is an apocalyptic number.

38847621604 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

38847621604 is the 197098-th square number.

It is an amenable number.

38847621604 is an abundant number, since it is smaller than the sum of its proper divisors (43191924299).

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

38847621604 is an equidigital number, since it uses as much as digits as its factorization.

38847621604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 38847621604 by its sum of digits (49), we get a square (1903533458596 = 13796862).

The spelling of 38847621604 in words is "thirty-eight billion, eight hundred forty-seven million, six hundred twenty-one thousand, six hundred four".

Divisors: 1 2 4 11 17 22 31 34 44 62 68 121 124 187 242 289 341 374 484 527 578 682 748 961 1054 1156 1364 1922 2057 2108 3179 3751 3844 4114 4913 5797 6358 7502 8228 8959 9826 10571 11594 12716 15004 16337 17918 19652 21142 23188 32674 34969 35836 42284 54043 63767 65348 69938 83521 98549 108086 116281 127534 139876 152303 167042 179707 197098 216172 232562 255068 277729 304606 334084 359414 394196 465124 555458 594473 609212 718828 918731 1084039 1110916 1188946 1675333 1837462 1976777 2168078 2377892 2589151 3055019 3350666 3674924 3953554 4336156 4721393 5178302 6110038 6701332 7907108 9442786 10106041 10356604 12220076 18428663 18885572 20212082 28480661 33605209 36857326 40424164 51935323 56961322 67210418 73714652 80263681 103870646 113922644 134420836 160527362 207741292 313287271 321054724 571288553 626574542 882900491 1142577106 1253149084 1765800982 2285154212 3531601964 9711905401 19423810802 38847621604