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639680729193 = 34111577516089
BaseRepresentation
bin10010100111011111111…
…00010101000001101001
32021011010110010221210000
421103233330111001221
540440031231313233
61205510522013213
764133612325102
oct11235774250151
92234113127700
10639680729193
11227318105770
12a3b83947209
134842482571c
1422d642a33a9
151198d7dad13
hex94eff15069

639680729193 has 80 divisors (see below), whose sum is σ = 1050651866880. Its totient is φ = 384639840000.

The previous prime is 639680729173. The next prime is 639680729197. The reversal of 639680729193 is 391927086936.

639680729193 is a `hidden beast` number, since 6 + 396 + 8 + 0 + 72 + 91 + 93 = 666.

It is not a de Polignac number, because 639680729193 - 224 = 639663951977 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 639680729193.

It is not an unprimeable number, because it can be changed into a prime (639680729197) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105052093 + ... + 105058181.

It is an arithmetic number, because the mean of its divisors is an integer number (13133148336).

Almost surely, 2639680729193 is an apocalyptic number.

It is an amenable number.

639680729193 is a deficient number, since it is larger than the sum of its proper divisors (410971137687).

639680729193 is a wasteful number, since it uses less digits than its factorization.

639680729193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 639680729193 in words is "six hundred thirty-nine billion, six hundred eighty million, seven hundred twenty-nine thousand, one hundred ninety-three".

Divisors: 1 3 9 11 27 33 81 99 157 297 471 751 891 1413 1727 2253 4239 5181 6089 6759 8261 12717 15543 18267 20277 24783 46629 54801 60831 66979 74349 117907 139887 164403 200937 223047 353721 493209 602811 669141 955973 1061163 1296977 1808433 2867919 3183489 3890931 4572839 5425299 8603757 9550467 10515703 11672793 13718517 25811271 31547109 35018379 41155551 50301229 77433813 94641327 105055137 123466653 150903687 283923981 370399959 452711061 717935723 851771943 1358133183 2153807169 4074399549 6461421507 7897292953 19384264521 23691878859 58152793563 71075636577 213226909731 639680729193