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21000093832917 = 3331349115162459
BaseRepresentation
bin1001100011001011101110…
…01000100001011011010101
32202100120220122110010201000
410301211313020201123111
510223031143010123132
6112355150535453513
74265130621236163
oct461456710413325
982316818403630
1021000093832917
1167670a9551aa1
122431b60b27299
13b943b9b43cc4
145285a4d2c233
152663d998487c
hex1319772216d5

21000093832917 has 64 divisors (see below), whose sum is σ = 32235356160000. Its totient is φ = 13497673464000.

The previous prime is 21000093832897. The next prime is 21000093832973. The reversal of 21000093832917 is 71923839000012.

It is not a de Polignac number, because 21000093832917 - 224 = 21000077055701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000093832997) 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, 336190834 + ... + 336253292.

It is an arithmetic number, because the mean of its divisors is an integer number (503677440000).

Almost surely, 221000093832917 is an apocalyptic number.

21000093832917 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

21000093832917 is a deficient number, since it is larger than the sum of its proper divisors (11235262327083).

21000093832917 is a wasteful number, since it uses less digits than its factorization.

21000093832917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63999 (or 63993 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 21000093832917 in words is "twenty-one trillion, ninety-three million, eight hundred thirty-two thousand, nine hundred seventeen".

Divisors: 1 3 9 27 31 93 279 349 837 1047 1151 3141 3453 9423 10359 10819 31077 32457 35681 62459 97371 107043 187377 292113 321129 401699 562131 963387 1205097 1686393 1936229 3615291 5808687 10845873 12452669 17426061 21798191 37358007 52278183 65394573 71890309 112074021 196183719 215670927 336222063 588551157 647012781 675743921 1941038343 2027231763 2228599579 6081695289 6685798737 18245085867 20057396211 25089717841 60172188633 75269153523 225807460569 677422381707 777781253071 2333343759213 7000031277639 21000093832917