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21271700513640 = 2335538681385279
BaseRepresentation
bin1001101011000101101000…
…01001110010001101101000
32210022112222101100002200110
410311202310021302031220
510242003420312414030
6113124030113334320
74323554366026203
oct465426411621550
983275871302613
1021271700513640
11686130642a275
1224767215673a0
13bb3bb3412375
145377ad17893a
1526d4d45d81b0
hex1358b4272368

21271700513640 has 128 divisors (see below), whose sum is σ = 65026818662400. Its totient is φ = 5564770498560.

The previous prime is 21271700513629. The next prime is 21271700513663. The reversal of 21271700513640 is 4631500717212.

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, 55018521 + ... + 55403799.

It is an arithmetic number, because the mean of its divisors is an integer number (508022020800).

Almost surely, 221271700513640 is an apocalyptic number.

21271700513640 is a gapful number since it is divisible by the number (20) 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 21271700513640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32513409331200).

21271700513640 is an abundant number, since it is smaller than the sum of its proper divisors (43755118148760).

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

21271700513640 is a wasteful number, since it uses less digits than its factorization.

21271700513640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394027 (or 394023 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 21271700513640 in words is "twenty-one trillion, two hundred seventy-one billion, seven hundred million, five hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 8681 17362 26043 34724 43405 52086 69448 86810 104172 130215 173620 208344 260430 347240 385279 460093 520860 770558 920186 1041720 1155837 1380279 1541116 1840372 1926395 2300465 2311674 2760558 3082232 3680744 3852790 4600930 4623348 5521116 5779185 6901395 7705580 9201860 9246696 11042232 11558370 13802790 15411160 18403720 20419787 23116740 27605580 40839574 46233480 55211160 61259361 81679148 102098935 122518722 163358296 204197870 245037444 306296805 408395740 490074888 612593610 816791480 1225187220 2450374440 3344606999 6689213998 10033820997 13378427996 16723034995 20067641994 26756855992 33446069990 40135283988 50169104985 66892139980 80270567976 100338209970 133784279960 177264170947 200676419940 354528341894 401352839880 531792512841 709056683788 886320854735 1063585025682 1418113367576 1772641709470 2127170051364 2658962564205 3545283418940 4254340102728 5317925128410 7090566837880 10635850256820 21271700513640