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14897382656 = 28137956663
BaseRepresentation
bin11011101111111010…
…00000010100000000
31102110020001110011012
431313331000110000
5221002212221111
610502130340052
71035112443332
oct156775002400
942406043135
1014897382656
1163552030a2
122a7912a628
1315354ca130
14a14751452
155c2ce448b
hex377f40500

14897382656 has 72 divisors (see below), whose sum is σ = 32429940480. Its totient is φ = 6788560896.

The previous prime is 14897382653. The next prime is 14897382671. The reversal of 14897382656 is 65628379841.

It is a super-2 number, since 2×148973826562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14897382595 and 14897382604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14897382653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234581 + ... + 291243.

It is an arithmetic number, because the mean of its divisors is an integer number (450415840).

Almost surely, 214897382656 is an apocalyptic number.

14897382656 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 14897382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214970240).

14897382656 is an abundant number, since it is smaller than the sum of its proper divisors (17532557824).

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

14897382656 is an equidigital number, since it uses as much as digits as its factorization.

14897382656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56771 (or 56757 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 59.

The spelling of 14897382656 in words is "fourteen billion, eight hundred ninety-seven million, three hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 256 316 416 632 832 1027 1264 1664 2054 2528 3328 4108 5056 8216 10112 16432 20224 32864 56663 65728 113326 131456 226652 262912 453304 736619 906608 1473238 1813216 2946476 3626432 4476377 5892952 7252864 8952754 11785904 14505728 17905508 23571808 35811016 47143616 58192901 71622032 94287232 116385802 143244064 188574464 232771604 286488128 465543208 572976256 931086416 1145952512 1862172832 3724345664 7448691328 14897382656