Search a number
-
+
11869165632 = 2631911328793
BaseRepresentation
bin10110000110111010…
…10001100001000000
31010122011221002100010
423003131101201000
5143302001300012
65241433224520
7600062146302
oct130335214100
933564832303
1011869165632
11504091a8a5
122372b62140
13117201633c
148084c1972
15497029c3c
hex2c3751840

11869165632 has 112 divisors (see below), whose sum is σ = 33350362560. Its totient is φ = 3714859008.

The previous prime is 11869165603. The next prime is 11869165643. The reversal of 11869165632 is 23656196811.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397828 + ... + 426620.

Almost surely, 211869165632 is an apocalyptic number.

11869165632 is a gapful number since it is divisible by the number (12) 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 11869165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16675181280).

11869165632 is an abundant number, since it is smaller than the sum of its proper divisors (21481196928).

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

11869165632 is a wasteful number, since it uses less digits than its factorization.

11869165632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28940 (or 28930 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The spelling of 11869165632 in words is "eleven billion, eight hundred sixty-nine million, one hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 113 114 152 192 226 228 304 339 452 456 608 678 904 912 1216 1356 1808 1824 2147 2712 3616 3648 4294 5424 6441 7232 8588 10848 12882 17176 21696 25764 28793 34352 51528 57586 68704 86379 103056 115172 137408 172758 206112 230344 345516 412224 460688 547067 691032 921376 1094134 1382064 1641201 1842752 2188268 2764128 3253609 3282402 4376536 5528256 6507218 6564804 8753072 9760827 13014436 13129608 17506144 19521654 26028872 26259216 35012288 39043308 52057744 52518432 61818571 78086616 104115488 105036864 123637142 156173232 185455713 208230976 247274284 312346464 370911426 494548568 624692928 741822852 989097136 1483645704 1978194272 2967291408 3956388544 5934582816 11869165632