Search a number
-
+
38514278325512 = 231145236171019
BaseRepresentation
bin10001100000111010011011…
…11000001101110100001000
312001100221002021110221222202
420300131031320031310020
520022004220222404022
6213525114252335332
711053364502141233
oct1060351570156410
9161327067427882
1038514278325512
11112a98a5060000
1243a03a9a74548
131864b5b33c4a2
1497215b29641a
1546bca1132592
hex23074de0dd08

38514278325512 has 160 divisors (see below), whose sum is σ = 79794309708000. Its totient is φ = 17427578192640.

The previous prime is 38514278325437. The next prime is 38514278325619. The reversal of 38514278325512 is 21552387241583.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37796150939 + ... + 37796151957.

It is an arithmetic number, because the mean of its divisors is an integer number (498714435675).

Almost surely, 238514278325512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38514278325512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39897154854000).

38514278325512 is an abundant number, since it is smaller than the sum of its proper divisors (41280031382488).

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

38514278325512 is a wasteful number, since it uses less digits than its factorization.

38514278325512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2172 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 56.

The spelling of 38514278325512 in words is "thirty-eight trillion, five hundred fourteen billion, two hundred seventy-eight million, three hundred twenty-five thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 523 617 968 1019 1046 1234 1331 2038 2092 2468 2662 4076 4184 4936 5324 5753 6787 8152 10648 11209 11506 13574 14641 22418 23012 27148 29282 44836 46024 54296 58564 63283 74657 89672 117128 123299 126566 149314 246598 253132 298628 322691 493196 506264 532937 597256 628723 645382 696113 821227 986392 1065874 1257446 1290764 1356289 1392226 1642454 2131748 2514892 2581528 2712578 2784452 3284908 3549601 4263496 5029784 5425156 5568904 5862307 6569816 6915953 7099202 7657243 9033497 10850312 11724614 13831906 14198404 14919179 15314486 18066994 23449228 27663812 28396808 29838358 30628972 36133988 39045611 46898456 55327624 59676716 61257944 64485377 72267976 76075483 78091222 119353432 128970754 152150966 156182444 257941508 304301932 312364888 328822129 429501721 515883016 608603864 657644258 709339147 836830313 859003442 1315288516 1418678294 1673660626 1718006884 2630577032 2837356588 3347321252 3436013768 3617043419 4724518931 5674713176 6694642504 7234086838 7802730617 9205133443 9449037862 14468173676 15605461234 18410266886 18898075724 28936347352 31210922468 36820533772 37796151448 39787477609 62421844936 73641067544 79574955218 159149910436 318299820872 437662253699 875324507398 1750649014796 3501298029592 4814284790689 9628569581378 19257139162756 38514278325512