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10620215216 = 241371799103
BaseRepresentation
bin10011110010000001…
…11001111110110000
31000102010210211110022
421321000321332300
5133222233341331
64513500023012
7524115224402
oct117100717660
930363724408
1010620215216
11455a91a976
122084831a68
131003343420
1472a68cb72
1542257067b
hex279039fb0

10620215216 has 80 divisors (see below), whose sum is σ = 22758543360. Its totient is φ = 4770904320.

The previous prime is 10620215213. The next prime is 10620215219. The reversal of 10620215216 is 61251202601.

10620215216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10620215213) and next prime (10620215219).

It is a super-2 number, since 2×106202152162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (10620215213) 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 15 ways as a sum of consecutive naturals, for example, 1162121 + ... + 1171223.

It is an arithmetic number, because the mean of its divisors is an integer number (284481792).

Almost surely, 210620215216 is an apocalyptic number.

10620215216 is a gapful number since it is divisible by the number (16) 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 10620215216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11379271680).

10620215216 is an abundant number, since it is smaller than the sum of its proper divisors (12138328144).

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

10620215216 is a wasteful number, since it uses less digits than its factorization.

10620215216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9274 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 10620215216 its reverse (61251202601), we get a palindrome (71871417817).

The spelling of 10620215216 in words is "ten billion, six hundred twenty million, two hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 71 79 104 142 158 208 284 316 568 632 923 1027 1136 1264 1846 2054 3692 4108 5609 7384 8216 9103 11218 14768 16432 18206 22436 36412 44872 72824 72917 89744 118339 145648 145834 236678 291668 473356 583336 646313 719137 946712 1166672 1292626 1438274 1893424 2585252 2876548 5170504 5753096 8402069 9348781 10341008 11506192 16804138 18697562 33608276 37395124 51058727 67216552 74790248 102117454 134433104 149580496 204234908 408469816 663763451 816939632 1327526902 2655053804 5310107608 10620215216