Search a number
-
+
115432451556 = 223293725734883
BaseRepresentation
bin110101110000001001…
…1110110110111100100
3102000221200112002221120
41223200103312313210
53342401201422211
6125010130013540
711224344435432
oct1534023666744
9360850462846
10115432451556
1144a556783a4
121a4561172b0
13ab67b1cb96
145830895d52
153008ec2d06
hex1ae04f6de4

115432451556 has 96 divisors (see below), whose sum is σ = 287282298240. Its totient is φ = 36004921344.

The previous prime is 115432451521. The next prime is 115432451569. The reversal of 115432451556 is 655154234511.

It is a super-2 number, since 2×1154324515562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3291691 + ... + 3326573.

It is an arithmetic number, because the mean of its divisors is an integer number (2992523940).

Almost surely, 2115432451556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115432451556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143641149120).

115432451556 is an abundant number, since it is smaller than the sum of its proper divisors (171849846684).

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

115432451556 is a wasteful number, since it uses less digits than its factorization.

115432451556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35213 (or 35211 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The spelling of 115432451556 in words is "one hundred fifteen billion, four hundred thirty-two million, four hundred fifty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 257 348 444 514 771 1028 1073 1542 2146 3084 3219 4292 6438 7453 9509 12876 14906 19018 22359 28527 29812 34883 38036 44718 57054 69766 89436 104649 114108 139532 209298 275761 418596 551522 827283 1011607 1103044 1290671 1654566 2023214 2581342 3034821 3309132 3872013 4046428 5162684 6069642 7744026 8964931 12139284 15488052 17929862 26894793 35859724 37429459 53789586 74858918 107579172 112288377 149717836 224576754 259982999 331702447 449153508 519965998 663404894 779948997 995107341 1039931996 1326809788 1559897994 1990214682 3119795988 3980429364 9619370963 19238741926 28858112889 38477483852 57716225778 115432451556