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38353209945 = 35414313111071
BaseRepresentation
bin100011101110000001…
…111000101001011001
310122222220022221020020
4203232001320221121
51112021410204240
625341430221053
72525266622421
oct435601705131
9118886287206
1038353209945
11152a1429326
1275244b4789
133802b4648b
141bdb9b7481
15ee71440d0
hex8ee078a59

38353209945 has 64 divisors (see below), whose sum is σ = 64820625408. Its totient is φ = 19341504000.

The previous prime is 38353209931. The next prime is 38353209971. The reversal of 38353209945 is 54990235383.

It is not a de Polignac number, because 38353209945 - 211 = 38353207897 is a prime.

It is a Curzon number.

It is an unprimeable number.

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, 3458760 + ... + 3469830.

It is an arithmetic number, because the mean of its divisors is an integer number (1012822272).

Almost surely, 238353209945 is an apocalyptic number.

It is an amenable number.

38353209945 is a deficient number, since it is larger than the sum of its proper divisors (26467415463).

38353209945 is a wasteful number, since it uses less digits than its factorization.

38353209945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11294.

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 38353209945 in words is "thirty-eight billion, three hundred fifty-three million, two hundred nine thousand, nine hundred forty-five".

Divisors: 1 3 5 15 41 43 123 129 131 205 215 393 615 645 655 1763 1965 5289 5371 5633 8815 11071 16113 16899 26445 26855 28165 33213 55355 80565 84495 166065 230953 453911 476053 692859 1154765 1361733 1428159 1450301 2269555 2380265 3464295 4350903 6808665 7140795 7251505 19518173 21754515 58554519 59462341 62362943 97590865 178387023 187088829 292772595 297311705 311814715 891935115 935444145 2556880663 7670641989 12784403315 38353209945