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38380091520 = 2735173115547
BaseRepresentation
bin100011101111101000…
…011011100010000000
310200001202220122211010
4203233220123202000
51112100300412040
625344230320520
72526044252361
oct435750334200
9120052818733
1038380091520
1115305619901
1275314b9140
133808598c34
141c013b3b68
15ee96a3e80
hex8efa1b880

38380091520 has 128 divisors (see below), whose sum is σ = 123044754240. Its totient is φ = 10175442944.

The previous prime is 38380091507. The next prime is 38380091549. The reversal of 38380091520 is 2519008383.

It is a tau number, because it is divible by the number of its divisors (128).

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, 274387 + ... + 389933.

Almost surely, 238380091520 is an apocalyptic number.

38380091520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38380091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61522377120).

38380091520 is an abundant number, since it is smaller than the sum of its proper divisors (84664662720).

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

38380091520 is a wasteful number, since it uses less digits than its factorization.

38380091520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115742 (or 115730 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 38380091520 in words is "thirty-eight billion, three hundred eighty million, ninety-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 173 192 240 320 346 384 480 519 640 692 865 960 1038 1384 1730 1920 2076 2595 2768 3460 4152 5190 5536 6920 8304 10380 11072 13840 16608 20760 22144 27680 33216 41520 55360 66432 83040 110720 115547 166080 231094 332160 346641 462188 577735 693282 924376 1155470 1386564 1733205 1848752 2310940 2773128 3466410 3697504 4621880 5546256 6932820 7395008 9243760 11092512 13865640 14790016 18487520 19989631 22185024 27731280 36975040 39979262 44370048 55462560 59968893 73950080 79958524 99948155 110925120 119937786 159917048 199896310 221850240 239875572 299844465 319834096 399792620 479751144 599688930 639668192 799585240 959502288 1199377860 1279336384 1599170480 1919004576 2398755720 2558672768 3198340960 3838009152 4797511440 6396681920 7676018304 9595022880 12793363840 19190045760 38380091520