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38322961250 = 254741132
BaseRepresentation
bin100011101100001110…
…011111101101100010
310122220210102010211012
4203230032133231202
51111441134230000
625334430020522
72524451540000
oct435416375542
9118823363735
1038322961250
1115286349002
127516347742
1337c97b5242
141bd7981a70
15ee466b735
hex8ec39fb62

38322961250 has 150 divisors (see below), whose sum is σ = 84547818069. Its totient is φ = 13023024000.

The previous prime is 38322961247. The next prime is 38322961253. The reversal of 38322961250 is 5216922383.

It is an interprime number because it is at equal distance from previous prime (38322961247) and next prime (38322961253).

It can be written as a sum of positive squares in 8 ways, for example, as 24848162689 + 13474798561 = 157633^2 + 116081^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=138425.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38322961198 and 38322961207.

It is not an unprimeable number, because it can be changed into a prime (38322961253) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 339141194 + ... + 339141306.

Almost surely, 238322961250 is an apocalyptic number.

38322961250 is an abundant number, since it is smaller than the sum of its proper divisors (46224856819).

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

38322961250 is an frugal number, since it uses more digits than its factorization.

38322961250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 38322961250 in words is "thirty-eight billion, three hundred twenty-two million, nine hundred sixty-one thousand, two hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 113 125 175 226 245 250 343 350 490 565 625 686 791 875 1130 1225 1250 1582 1715 1750 2401 2450 2825 3430 3955 4375 4802 5537 5650 6125 7910 8575 8750 11074 12005 12250 12769 14125 17150 19775 24010 25538 27685 28250 30625 38759 39550 42875 55370 60025 61250 63845 70625 77518 85750 89383 98875 120050 127690 138425 141250 178766 193795 197750 214375 271313 276850 300125 319225 387590 428750 446915 494375 542626 600250 625681 638450 692125 893830 968975 988750 1251362 1356565 1384250 1500625 1596125 1937950 2234575 2713130 3001250 3128405 3192250 3460625 4379767 4469150 4844875 6256810 6782825 6921250 7980625 8759534 9689750 11172875 13565650 15642025 15961250 21898835 22345750 24224375 30658369 31284050 33914125 43797670 48448750 55864375 61316738 67828250 78210125 109494175 111728750 153291845 156420250 169570625 218988350 306583690 339141250 391050625 547470875 766459225 782101250 1094941750 1532918450 2737354375 3832296125 5474708750 7664592250 19161480625 38322961250