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38646920088 = 23327587130631
BaseRepresentation
bin100011111111100010…
…010011001110011000
310200202100222221210200
4203333202103032120
51113122102420323
625430521342200
72535464254260
oct437742231630
9120670887720
1038646920088
11154321a7087
1275a6937960
13384b95136a
141c289d07a0
151012d0e443
hex8ff893398

38646920088 has 96 divisors (see below), whose sum is σ = 119826120960. Its totient is φ = 11023081920.

The previous prime is 38646920077. The next prime is 38646920099. The reversal of 38646920088 is 88002964683.

38646920088 is a `hidden beast` number, since 3 + 86 + 469 + 20 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (38646920077) and next prime (38646920099).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230533 + ... + 361163.

It is an arithmetic number, because the mean of its divisors is an integer number (1248188760).

Almost surely, 238646920088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38646920088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59913060480).

38646920088 is an abundant number, since it is smaller than the sum of its proper divisors (81179200872).

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

38646920088 is a wasteful number, since it uses less digits than its factorization.

38646920088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131237 (or 131230 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 38646920088 in words is "thirty-eight billion, six hundred forty-six million, nine hundred twenty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 587 1174 1761 2348 3522 4109 4696 5283 7044 8218 10566 12327 14088 16436 21132 24654 32872 36981 42264 49308 73962 98616 130631 147924 261262 295848 391893 522524 783786 914417 1045048 1175679 1567572 1828834 2351358 2743251 3135144 3657668 4702716 5486502 7315336 8229753 9405432 10973004 16459506 21946008 32919012 65838024 76680397 153360794 230041191 306721588 460082382 536762779 613443176 690123573 920164764 1073525558 1380247146 1610288337 1840329528 2147051116 2760494292 3220576674 4294102232 4830865011 5520988584 6441153348 9661730022 12882306696 19323460044 38646920088