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38029056930 = 2345149315097
BaseRepresentation
bin100011011010101101…
…010101101110100010
310122011022101020220000
4203122231111232202
51110340414310210
625245330400430
72514252436044
oct433255255642
9118138336800
1038029056930
1115145458377
127453a30116
13378093cb67
141baa917a94
15ec8963ac0
hex8dab55ba2

38029056930 has 80 divisors (see below), whose sum is σ = 102942516600. Its totient is φ = 10072988928.

The previous prime is 38029056917. The next prime is 38029056973. The reversal of 38029056930 is 3965092083.

38029056930 is a `hidden beast` number, since 3 + 80 + 2 + 9 + 0 + 569 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22484702601 + 15544354329 = 149949^2 + 124677^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 36859 + ... + 278238.

Almost surely, 238029056930 is an apocalyptic number.

38029056930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38029056930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51471258300).

38029056930 is an abundant number, since it is smaller than the sum of its proper divisors (64913459670).

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

38029056930 is a wasteful number, since it uses less digits than its factorization.

38029056930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315265 (or 315256 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 38029056930 in words is "thirty-eight billion, twenty-nine million, fifty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 149 162 270 298 405 447 745 810 894 1341 1490 2235 2682 4023 4470 6705 8046 12069 13410 20115 24138 40230 60345 120690 315097 630194 945291 1575485 1890582 2835873 3150970 4726455 5671746 8507619 9452910 14179365 17015238 25522857 28358730 42538095 46949453 51045714 85076190 93898906 127614285 140848359 234747265 255228570 281696718 422545077 469494530 704241795 845090154 1267635231 1408483590 2112725385 2535270462 3802905693 4225450770 6338176155 7605811386 12676352310 19014528465 38029056930