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38231200395 = 3352922743019
BaseRepresentation
bin100011100110110000…
…011101001010001011
310122200101202012121000
4203212300131022023
51111244141403040
625321351150043
72522255561433
oct434660351213
9118611665530
1038231200395
1115239574793
1274ab675323
1337b379798b
141bc96d72c3
15edb593130
hex8e6c1d28b

38231200395 has 64 divisors (see below), whose sum is σ = 70621632000. Its totient is φ = 19599689088.

The previous prime is 38231200393. The next prime is 38231200421. The reversal of 38231200395 is 59300213283.

38231200395 is a `hidden beast` number, since 38 + 2 + 31 + 200 + 395 = 666.

It is not a de Polignac number, because 38231200395 - 21 = 38231200393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38231200393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 867196 + ... + 910214.

It is an arithmetic number, because the mean of its divisors is an integer number (1103463000).

Almost surely, 238231200395 is an apocalyptic number.

38231200395 is a deficient number, since it is larger than the sum of its proper divisors (32390431605).

38231200395 is a wasteful number, since it uses less digits than its factorization.

38231200395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43289 (or 43283 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 38231200395 in words is "thirty-eight billion, two hundred thirty-one million, two hundred thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 227 261 435 681 783 1135 1305 2043 3405 3915 6129 6583 10215 19749 30645 32915 43019 59247 98745 129057 177741 215095 296235 387171 645285 888705 1161513 1247551 1935855 3742653 5807565 6237755 9765313 11227959 18713265 29295939 33683877 48826565 56139795 87887817 146479695 168419385 263663451 283194077 439439085 849582231 1318317255 1415970385 2548746693 4247911155 7646240079 12743733465 38231200395