Search a number
-
+
11634484644 = 2232809399481
BaseRepresentation
bin10101101010111100…
…00010010110100100
31010000211100001112200
422311132002112210
5142311412002034
65202251214500
7561212326206
oct126536022644
933024301480
1011634484644
114a303aa572
122308447430
131135508553
147c5272776
1548161ea99
hex2b57825a4

11634484644 has 36 divisors (see below), whose sum is σ = 29445818220. Its totient is φ = 3873358080.

The previous prime is 11634484627. The next prime is 11634484661. The reversal of 11634484644 is 44648443611.

11634484644 is a `hidden beast` number, since 1 + 1 + 634 + 4 + 8 + 4 + 6 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11634484627) and next prime (11634484661).

It can be written as a sum of positive squares in 2 ways, for example, as 5736244644 + 5898240000 = 75738^2 + 76800^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×116344846442 (a number of 21 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 11634484644.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170617 + ... + 228864.

It is an arithmetic number, because the mean of its divisors is an integer number (817939395).

Almost surely, 211634484644 is an apocalyptic number.

It is an amenable number.

11634484644 is an abundant number, since it is smaller than the sum of its proper divisors (17811333576).

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

11634484644 is a wasteful number, since it uses less digits than its factorization.

11634484644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400300 (or 400295 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 11634484644 in words is "eleven billion, six hundred thirty-four million, four hundred eighty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 809 1618 2427 3236 4854 7281 9708 14562 29124 399481 798962 1198443 1597924 2396886 3595329 4793772 7190658 14381316 323180129 646360258 969540387 1292720516 1939080774 2908621161 3878161548 5817242322 11634484644