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1345425935056 = 247456362207
BaseRepresentation
bin10011100101000001101…
…000101000101011010000
311202121210001021001100021
4103211001220220223100
5134020413014410211
62510025151033224
7166126623520000
oct23450150505320
94677701231307
101345425935056
11479656957585
1219890450b814
1399b4732a858
1449194610000
1524ee6e4b771
hex13941a28ad0

1345425935056 has 100 divisors (see below), whose sum is σ = 3046492726272. Its totient is φ = 575577686208.

The previous prime is 1345425935039. The next prime is 1345425935059. The reversal of 1345425935056 is 6505395245431.

It is a junction number, because it is equal to n+sod(n) for n = 1345425934994 and 1345425935012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345425935059) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21597105 + ... + 21659311.

Almost surely, 21345425935056 is an apocalyptic number.

1345425935056 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 1345425935056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523246363136).

1345425935056 is an abundant number, since it is smaller than the sum of its proper divisors (1701066791216).

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

1345425935056 is an frugal number, since it uses more digits than its factorization.

1345425935056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62806 (or 62779 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 52.

The spelling of 1345425935056 in words is "one trillion, three hundred forty-five billion, four hundred twenty-five million, nine hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 563 686 784 1126 1372 2252 2401 2744 3941 4504 4802 5488 7882 9008 9604 15764 19208 27587 31528 38416 55174 62207 63056 110348 124414 193109 220696 248828 386218 435449 441392 497656 772436 870898 995312 1351763 1544872 1741796 2703526 3048143 3089744 3483592 5407052 6096286 6967184 10814104 12192572 21337001 21628208 24385144 35022541 42674002 48770288 70045082 85348004 140090164 149359007 170696008 245157787 280180328 298718014 341392016 490315574 560360656 597436028 980631148 1194872056 1716104509 1961262296 2389744112 3432209018 3922524592 6864418036 12012731563 13728836072 24025463126 27457672144 48050926252 84089120941 96101852504 168178241882 192203705008 336356483764 672712967528 1345425935056