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115575141376 = 21017322973
BaseRepresentation
bin110101110100011010…
…0001011010000000000
3102001022122000111120201
41223220310023100000
53343144214011001
6125032224214544
711231026330642
oct1535064132000
9361278014521
10115575141376
1145019177372
121a495a6a454
13ab8b55c626
1458457da892
1530167ab501
hex1ae8d0b400

115575141376 has 88 divisors (see below), whose sum is σ = 245485001160. Its totient is φ = 54385934336.

The previous prime is 115575141323. The next prime is 115575141397. The reversal of 115575141376 is 673141575511.

It can be written as a sum of positive squares in 4 ways, for example, as 24516043776 + 91059097600 = 156576^2 + 301760^2 .

It is a super-2 number, since 2×1155751413762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5019426 + ... + 5042398.

Almost surely, 2115575141376 is an apocalyptic number.

115575141376 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 115575141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122742500580).

115575141376 is an abundant number, since it is smaller than the sum of its proper divisors (129909859784).

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

115575141376 is an frugal number, since it uses more digits than its factorization.

115575141376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23044 (or 22992 counting only the distinct ones).

The product of its digits is 441000, while the sum is 46.

The spelling of 115575141376 in words is "one hundred fifteen billion, five hundred seventy-five million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 2176 2312 4352 4624 4913 8704 9248 9826 17408 18496 19652 22973 36992 39304 45946 73984 78608 91892 147968 157216 183784 295936 314432 367568 390541 628864 735136 781082 1257728 1470272 1562164 2515456 2940544 3124328 5030912 5881088 6248656 6639197 11762176 12497312 13278394 23524352 24994624 26556788 49989248 53113576 99978496 106227152 112866349 199956992 212454304 225732698 399913984 424908608 451465396 849817216 902930792 1699634432 1805861584 3399268864 3611723168 6798537728 7223446336 14446892672 28893785344 57787570688 115575141376