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38683219080 = 233511149196681
BaseRepresentation
bin100100000001101100…
…110001010010001000
310200211220022010122210
4210001230301102020
51113210401002310
625434255345120
72536414636242
oct440154612210
9120756263583
1038683219080
111545073a050
1275b6b221a0
13385632045c
141c2d75d092
1510160ce820
hex901b31488

38683219080 has 128 divisors (see below), whose sum is σ = 127449936000. Its totient is φ = 9314764800.

The previous prime is 38683219063. The next prime is 38683219117. The reversal of 38683219080 is 8091238683.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98340 + ... + 295020.

It is an arithmetic number, because the mean of its divisors is an integer number (995702625).

Almost surely, 238683219080 is an apocalyptic number.

38683219080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 196680×196681.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38683219080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63724968000).

38683219080 is an abundant number, since it is smaller than the sum of its proper divisors (88766716920).

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

38683219080 is a wasteful number, since it uses less digits than its factorization.

38683219080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196855 (or 196851 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 38683219080 in words is "thirty-eight billion, six hundred eighty-three million, two hundred nineteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 149 165 220 264 298 330 440 447 596 660 745 894 1192 1320 1490 1639 1788 2235 2980 3278 3576 4470 4917 5960 6556 8195 8940 9834 13112 16390 17880 19668 24585 32780 39336 49170 65560 98340 196680 196681 393362 590043 786724 983405 1180086 1573448 1966810 2163491 2360172 2950215 3933620 4326982 4720344 5900430 6490473 7867240 8653964 10817455 11800860 12980946 17307928 21634910 23601720 25961892 29305469 32452365 43269820 51923784 58610938 64904730 86539640 87916407 117221876 129809460 146527345 175832814 234443752 259618920 293054690 322360159 351665628 439582035 586109380 644720318 703331256 879164070 967080477 1172218760 1289440636 1611800795 1758328140 1934160954 2578881272 3223601590 3516656280 3868321908 4835402385 6447203180 7736643816 9670804770 12894406360 19341609540 38683219080