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115123002746164 = 227210334131670831
BaseRepresentation
bin11010001011010000101001…
…101011110010010100110100
3120002121122121000000211101121
4122023100221223302110310
5110042133402200334124
61044502435524033324
733151235220415300
oct3213205153622464
9502548530024347
10115123002746164
1133755433888476
1210ab3738832844
134c3108b68625a
14205dda974cd00
15d499308222e4
hex68b429af2534

115123002746164 has 72 divisors (see below), whose sum is σ = 236702331710208. Its totient is φ = 48845070953280.

The previous prime is 115123002746159. The next prime is 115123002746203. The reversal of 115123002746164 is 461647200321511.

It is a super-2 number, since 2×1151230027461642 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115123002746164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68066229 + ... + 69737059.

It is an arithmetic number, because the mean of its divisors is an integer number (3287532384864).

Almost surely, 2115123002746164 is an apocalyptic number.

115123002746164 is a gapful number since it is divisible by the number (14) 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 115123002746164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118351165855104).

115123002746164 is an abundant number, since it is smaller than the sum of its proper divisors (121579328964044).

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

115123002746164 is a wasteful number, since it uses less digits than its factorization.

115123002746164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674365 (or 1674356 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 115123002746164 in words is "one hundred fifteen trillion, one hundred twenty-three billion, two million, seven hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 412 721 1442 2884 3413 5047 6826 10094 13652 20188 23891 47782 95564 167237 334474 351539 668948 703078 1406156 1670831 2460773 3341662 4921546 6683324 9843092 11695817 17225411 23391634 34450822 46783268 68901644 81870719 163741438 172095593 327482876 344191186 688382372 1204669151 2409338302 4818676604 5702546203 8432684057 11405092406 16865368114 22810184812 33730736228 39917823421 79835646842 159671293684 279424763947 558849527894 587362258909 1117699055788 1174724517818 2349449035636 4111535812363 8223071624726 16446143249452 28780750686541 57561501373082 115123002746164