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38420351160 = 23354746314713
BaseRepresentation
bin100011110010000010…
…000000100010111000
310200011120200001122220
4203302002000202320
51112141102214120
625352225244040
72530043411412
oct436202004270
9120146601586
1038420351160
1115326317534
127542a93620
133813a239c9
141c068939b2
15eecea7b40
hex8f20808b8

38420351160 has 128 divisors (see below), whose sum is σ = 117975674880. Its totient is φ = 10005101568.

The previous prime is 38420351141. The next prime is 38420351267. The reversal of 38420351160 is 6115302483.

It is a super-2 number, since 2×384203511602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 2603964 + ... + 2618676.

It is an arithmetic number, because the mean of its divisors is an integer number (921684960).

Almost surely, 238420351160 is an apocalyptic number.

38420351160 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 38420351160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58987837440).

38420351160 is an abundant number, since it is smaller than the sum of its proper divisors (79555323720).

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

38420351160 is a wasteful number, since it uses less digits than its factorization.

38420351160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15237 (or 15233 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 38420351160 in words is "thirty-eight billion, four hundred twenty million, three hundred fifty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 463 470 564 705 926 940 1128 1389 1410 1852 1880 2315 2778 2820 3704 4630 5556 5640 6945 9260 11112 13890 14713 18520 21761 27780 29426 43522 44139 55560 58852 65283 73565 87044 88278 108805 117704 130566 147130 174088 176556 217610 220695 261132 294260 326415 353112 435220 441390 522264 588520 652830 691511 870440 882780 1305660 1383022 1765560 2074533 2611320 2766044 3457555 4149066 5532088 6812119 6915110 8298132 10372665 13624238 13830220 16596264 20436357 20745330 27248476 27660440 34060595 40872714 41490660 54496952 68121190 81745428 82981320 102181785 136242380 163490856 204363570 272484760 320169593 408727140 640339186 817454280 960508779 1280678372 1600847965 1921017558 2561356744 3201695930 3842035116 4802543895 6403391860 7684070232 9605087790 12806783720 19210175580 38420351160