Search a number
-
+
115457507010 = 232531103401773
BaseRepresentation
bin110101110000111001…
…1011011111011000010
3102001000102200001120100
41223201303123323002
53342424110211020
6125012423023230
711225100421416
oct1534163337302
9361012601510
10115457507010
1144a6883098a
121a46259ab16
13ab700833b1
145833d38d46
15300b2c1a90
hex1ae1cdbec2

115457507010 has 96 divisors (see below), whose sum is σ = 312882306048. Its totient is φ = 29506135680.

The previous prime is 115457506993. The next prime is 115457507021. The reversal of 115457507010 is 10705754511.

It is a happy number.

115457507010 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 575 + 0 + 70 + 10 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86484 + ... + 488256.

It is an arithmetic number, because the mean of its divisors is an integer number (3259190688).

Almost surely, 2115457507010 is an apocalyptic number.

115457507010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115457507010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156441153024).

115457507010 is an abundant number, since it is smaller than the sum of its proper divisors (197424799038).

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

115457507010 is a wasteful number, since it uses less digits than its factorization.

115457507010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401920 (or 401917 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 36.

The spelling of 115457507010 in words is "one hundred fifteen billion, four hundred fifty-seven million, five hundred seven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 103 155 186 206 279 309 310 465 515 558 618 927 930 1030 1395 1545 1854 2790 3090 3193 4635 6386 9270 9579 15965 19158 28737 31930 47895 57474 95790 143685 287370 401773 803546 1205319 2008865 2410638 3615957 4017730 6026595 7231914 12053190 12454963 18079785 24909926 36159570 37364889 41382619 62274815 74729778 82765238 112094667 124147857 124549630 186824445 206913095 224189334 248295714 372443571 373648890 413826190 560473335 620739285 744887142 1120946670 1241478570 1282861189 1862217855 2565722378 3724435710 3848583567 6414305945 7697167134 11545750701 12828611890 19242917835 23091501402 38485835670 57728753505 115457507010