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130551427045056 = 26317314932632537
BaseRepresentation
bin11101101011110001011111…
…011011110001011011000000
3122010020121001102021120102210
4131223301133123301123000
5114102423310310420211
61141354255253142120
736333013031230113
oct3553613733613300
9563217042246383
10130551427045056
1138663605109856
12127858a892a940
1357acc40000424
142434a1946457a
151015e1eea99a6
hex76bc5f6f16c0

130551427045056 has 112 divisors (see below), whose sum is σ = 347646776550624. Its totient is φ = 43236602781696.

The previous prime is 130551427045051. The next prime is 130551427045099. The reversal of 130551427045056 is 650540724155031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130551427044996 and 130551427045014.

It is not an unprimeable number, because it can be changed into a prime (130551427045051) 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, 48275220 + ... + 50907756.

Almost surely, 2130551427045056 is an apocalyptic number.

130551427045056 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 130551427045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173823388275312).

130551427045056 is an abundant number, since it is smaller than the sum of its proper divisors (217095349505568).

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

130551427045056 is a wasteful number, since it uses less digits than its factorization.

130551427045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634218 (or 2634208 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 130551427045056 in words is "one hundred thirty trillion, five hundred fifty-one billion, four hundred twenty-seven million, forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 346 519 692 1038 1384 1493 2076 2768 2986 4152 4479 5536 5972 8304 8958 11072 11944 16608 17916 23888 33216 35832 47776 71664 95552 143328 258289 286656 516578 774867 1033156 1549734 2066312 2632537 3099468 4132624 5265074 6198936 7897611 8265248 10530148 12397872 15795222 16530496 21060296 24795744 31590444 42120592 49591488 63180888 84241184 126361776 168482368 252723552 455428901 505447104 910857802 1366286703 1821715604 2732573406 3643431208 3930377741 5465146812 7286862416 7860755482 10930293624 11791133223 14573724832 15721510964 21860587248 23582266446 29147449664 31443021928 43721174496 47164532892 62886043856 87442348992 94329065784 125772087712 188658131568 251544175424 377316263136 679955349193 754632526272 1359910698386 2039866047579 2719821396772 4079732095158 5439642793544 8159464190316 10879285587088 16318928380632 21758571174176 32637856761264 43517142348352 65275713522528 130551427045056