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38905171992 = 23331151156487
BaseRepresentation
bin100100001110111011…
…011101000000011000
310201102100221111211000
4210032323131000120
51114134211000432
625512304505000
72545051335261
oct441673350030
9121370844730
1038905171992
1115554a56605
12765931b160
1338902c2a3b
141c51017968
15102a82357c
hex90eedd018

38905171992 has 64 divisors (see below), whose sum is σ = 108164505600. Its totient is φ = 12957040800.

The previous prime is 38905171973. The next prime is 38905172017. The reversal of 38905171992 is 29917150983.

38905171992 is a `hidden beast` number, since 38 + 9 + 0 + 517 + 1 + 9 + 92 = 666.

It is a super-3 number, since 3×389051719923 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170373 + ... + 326859.

It is an arithmetic number, because the mean of its divisors is an integer number (1690070400).

Almost surely, 238905171992 is an apocalyptic number.

It is an amenable number.

38905171992 is an abundant number, since it is smaller than the sum of its proper divisors (69259333608).

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

38905171992 is a wasteful number, since it uses less digits than its factorization.

38905171992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157653 (or 157643 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 38905171992 in words is "thirty-eight billion, nine hundred five million, one hundred seventy-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1151 2302 3453 4604 6906 9208 10359 13812 20718 27624 31077 41436 62154 82872 124308 156487 248616 312974 469461 625948 938922 1251896 1408383 1877844 2816766 3755688 4225149 5633532 8450298 11267064 16900596 33801192 180116537 360233074 540349611 720466148 1080699222 1440932296 1621048833 2161398444 3242097666 4322796888 4863146499 6484195332 9726292998 12968390664 19452585996 38905171992