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12640620210 = 2354117957413
BaseRepresentation
bin10111100010111000…
…01000111010110010
31012121221120001001220
423301130020322302
5201341444321320
65450152205510
7625150333101
oct136134107262
935557501056
1012640620210
1153a7334069
122549399896
131265ab333a
1487cb3a038
154deb13e40
hex2f1708eb2

12640620210 has 64 divisors (see below), whose sum is σ = 31251588480. Its totient is φ = 3270187520.

The previous prime is 12640620193. The next prime is 12640620217. The reversal of 12640620210 is 1202604621.

12640620210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12640620217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191464 + ... + 248876.

It is an arithmetic number, because the mean of its divisors is an integer number (488306070).

Almost surely, 212640620210 is an apocalyptic number.

12640620210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12640620210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625794240).

12640620210 is an abundant number, since it is smaller than the sum of its proper divisors (18610968270).

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

12640620210 is a wasteful number, since it uses less digits than its factorization.

12640620210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57643.

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 12640620210 in words is "twelve billion, six hundred forty million, six hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 179 205 246 358 410 537 615 895 1074 1230 1790 2685 5370 7339 14678 22017 36695 44034 57413 73390 110085 114826 172239 220170 287065 344478 574130 861195 1722390 2353933 4707866 7061799 10276927 11769665 14123598 20553854 23539330 30830781 35308995 51384635 61661562 70617990 102769270 154153905 308307810 421354007 842708014 1264062021 2106770035 2528124042 4213540070 6320310105 12640620210