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130645026768 = 243181148910099
BaseRepresentation
bin111100110101100001…
…1001110011111010000
3110111012212200000000010
41321223003032133100
54120030111324033
6140003440154520
712303335255604
oct1715303163720
9414185600003
10130645026768
1150451791303
12213a0908a40
13c420706c89
146475013504
1535e97c7863
hex1e6b0ce7d0

130645026768 has 80 divisors (see below), whose sum is σ = 339625832000. Its totient is φ = 43274373120.

The previous prime is 130645026763. The next prime is 130645026821. The reversal of 130645026768 is 867620546031.

It is a super-2 number, since 2×1306450267682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130645026763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12931383 + ... + 12941481.

It is an arithmetic number, because the mean of its divisors is an integer number (4245322900).

Almost surely, 2130645026768 is an apocalyptic number.

It is an amenable number.

130645026768 is an abundant number, since it is smaller than the sum of its proper divisors (208980805232).

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

130645026768 is a wasteful number, since it uses less digits than its factorization.

130645026768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11780 (or 11774 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 130645026768 in words is "one hundred thirty billion, six hundred forty-five million, twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 181 362 543 724 1086 1448 1489 2172 2896 2978 4344 4467 5956 8688 8934 10099 11912 17868 20198 23824 30297 35736 40396 60594 71472 80792 121188 161584 242376 269509 484752 539018 808527 1078036 1617054 1827919 2156072 3234108 3655838 4312144 5483757 6468216 7311676 10967514 12936432 14623352 15037411 21935028 29246704 30074822 43870056 45112233 60149644 87740112 90224466 120299288 180448932 240598576 360897864 721795728 2721771391 5443542782 8165314173 10887085564 16330628346 21774171128 32661256692 43548342256 65322513384 130645026768