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38813457930 = 235133110929453
BaseRepresentation
bin100100001001011101…
…100101111000001010
310201011222100221202220
4210021131211320022
51113442221123210
625455231034510
72542555643322
oct441135457012
9121158327686
1038813457930
1115508204465
12763266ba36
1338772c0870
141c42b82282
151022758c70
hex909765e0a

38813457930 has 128 divisors (see below), whose sum is σ = 104507504640. Its totient is φ = 9160750080.

The previous prime is 38813457919. The next prime is 38813457937. The reversal of 38813457930 is 3975431883.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (38813457937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1303084 + ... + 1332536.

It is an arithmetic number, because the mean of its divisors is an integer number (816464880).

Almost surely, 238813457930 is an apocalyptic number.

38813457930 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 38813457930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52253752320).

38813457930 is an abundant number, since it is smaller than the sum of its proper divisors (65694046710).

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

38813457930 is a wasteful number, since it uses less digits than its factorization.

38813457930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29616.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 38813457930 in words is "thirty-eight billion, eight hundred thirteen million, four hundred fifty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 109 130 155 186 195 218 310 327 390 403 465 545 654 806 930 1090 1209 1417 1635 2015 2418 2834 3270 3379 4030 4251 6045 6758 7085 8502 10137 12090 14170 16895 20274 21255 29453 33790 42510 43927 50685 58906 87854 88359 101370 131781 147265 176718 219635 263562 294530 382889 439270 441795 658905 765778 883590 913043 1148667 1317810 1826086 1914445 2297334 2739129 3210377 3828890 4565215 5478258 5743335 6420754 9130430 9631131 11486670 11869559 13695645 16051885 19262262 23739118 27391290 32103770 35608677 41734901 48155655 59347795 71217354 83469802 96311310 99521687 118695590 125204703 178043385 199043374 208674505 250409406 298565061 356086770 417349010 497608435 597130122 626023515 995216870 1252047030 1293781931 1492825305 2587563862 2985650610 3881345793 6468909655 7762691586 12937819310 19406728965 38813457930