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1317157149056 = 2772290372341
BaseRepresentation
bin10011001010101100101…
…011110001100110000000
311122220210221112221010012
4103022230223301212000
5133040014212232211
62445032120524052
7164106245016200
oct23125453614600
94586727487105
101317157149056
1146866a966221
12193335320628
1397290820748
1447a72094400
15243e02ded8b
hex132acaf1980

1317157149056 has 96 divisors (see below), whose sum is σ = 3053529776880. Its totient is φ = 564293667840.

The previous prime is 1317157149053. The next prime is 1317157149097. The reversal of 1317157149056 is 6509417517131.

It is a super-2 number, since 2×13171571490562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1317157148995 and 1317157149013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317157149053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18171446 + ... + 18243786.

Almost surely, 21317157149056 is an apocalyptic number.

1317157149056 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 1317157149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526764888440).

1317157149056 is an abundant number, since it is smaller than the sum of its proper divisors (1736372627824).

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

1317157149056 is an equidigital number, since it uses as much as digits as its factorization.

1317157149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75272 (or 75253 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 50.

The spelling of 1317157149056 in words is "one trillion, three hundred seventeen billion, one hundred fifty-seven million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 2903 3136 5806 6272 11612 20321 23224 40642 46448 72341 81284 92896 142247 144682 162568 185792 284494 289364 325136 371584 506387 568988 578728 650272 1012774 1137976 1157456 1300544 2025548 2275952 2314912 2601088 3544709 4051096 4551904 4629824 7089418 8102192 9103808 9259648 14178836 16204384 18207616 28357672 32408768 56715344 64817536 113430688 210005923 226861376 420011846 453722752 840023692 1470041461 1680047384 2940082922 3360094768 5880165844 6720189536 10290290227 11760331688 13440379072 20580580454 23520663376 26880758144 41161160908 47041326752 82322321816 94082653504 164644643632 188165307008 329289287264 658578574528 1317157149056