Search a number
-
+
11896552350 = 2335215495689
BaseRepresentation
bin10110001010001011…
…01111101110011110
31010201002110110212000
423011011233232132
5143331004133400
65244252223130
7600544012044
oct130505575636
933632413760
1011896552350
115055325951
12238016aaa6
1311778b49b7
1480bdb0394
15499639600
hex2c516fb9e

11896552350 has 96 divisors (see below), whose sum is σ = 32808540000. Its totient is φ = 3169808640.

The previous prime is 11896552309. The next prime is 11896552363. The reversal of 11896552350 is 5325569811.

11896552350 is a `hidden beast` number, since 1 + 1 + 8 + 96 + 552 + 3 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 11896552296 and 11896552305.

It is a congruent number.

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, 2088306 + ... + 2093994.

It is an arithmetic number, because the mean of its divisors is an integer number (341755625).

Almost surely, 211896552350 is an apocalyptic number.

11896552350 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 11896552350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404270000).

11896552350 is an abundant number, since it is smaller than the sum of its proper divisors (20911987650).

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

11896552350 is a wasteful number, since it uses less digits than its factorization.

11896552350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 11896552350 in words is "eleven billion, eight hundred ninety-six million, five hundred fifty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 1549 3098 4647 5689 7745 9294 11378 13941 15490 17067 23235 27882 28445 34134 38725 41823 46470 51201 56890 69705 77450 83646 85335 102402 116175 139410 142225 153603 170670 209115 232350 256005 284450 307206 348525 418230 426675 512010 697050 768015 853350 1045575 1280025 1536030 2091150 2560050 3840075 7680150 8812261 17624522 26436783 44061305 52873566 79310349 88122610 132183915 158620698 220306525 237931047 264367830 396551745 440613050 475862094 660919575 793103490 1189655235 1321839150 1982758725 2379310470 3965517450 5948276175 11896552350