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38122885620 = 22325375724157
BaseRepresentation
bin100011100000010011…
…010001000111110100
310122101211221020122200
4203200103101013310
51111033424314440
625302521424500
72516502116061
oct434023210764
9118354836580
1038122885620
1115193414246
12747b33b130
1337972026b1
141bb917dc68
15ed1ce9c30
hex8e04d11f4

38122885620 has 72 divisors (see below), whose sum is σ = 118764830184. Its totient is φ = 9891341568.

The previous prime is 38122885601. The next prime is 38122885651. The reversal of 38122885620 is 2658822183.

38122885620 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 2 + 88 + 562 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20973411684 + 17149473936 = 144822^2 + 130956^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2855419 + ... + 2868738.

Almost surely, 238122885620 is an apocalyptic number.

38122885620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38122885620 is an abundant number, since it is smaller than the sum of its proper divisors (80641944564).

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

38122885620 is a wasteful number, since it uses less digits than its factorization.

38122885620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724209 (or 5724204 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 38122885620 in words is "thirty-eight billion, one hundred twenty-two million, eight hundred eighty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 5724157 11448314 17172471 22896628 28620785 34344942 51517413 57241570 68689884 85862355 103034826 114483140 171724710 206069652 211793809 257587065 343449420 423587618 515174130 635381427 847175236 1030348260 1058969045 1270762854 1906144281 2117938090 2541525708 3176907135 3812288562 4235876180 6353814270 7624577124 9530721405 12707628540 19061442810 38122885620