Search a number
-
+
11069644032 = 2834533837
BaseRepresentation
bin10100100111100110…
…10101110100000000
31001120110111011220000
422103303111310000
5140132312102112
65030232520000
7541213264446
oct122363256400
931513434800
1011069644032
114770586447
12218b250000
1310754a0135
1477023cb96
1544bc497dc
hex293cd5d00

11069644032 has 90 divisors (see below), whose sum is σ = 33007737378. Its totient is φ = 3689874432.

The previous prime is 11069643973. The next prime is 11069644043. The reversal of 11069644032 is 23044696011.

11069644032 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 9 + 644 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10189691136 + 879952896 = 100944^2 + 29664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 246183 + ... + 287654.

Almost surely, 211069644032 is an apocalyptic number.

11069644032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11069644032 is an abundant number, since it is smaller than the sum of its proper divisors (21938093346).

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

11069644032 is an frugal number, since it uses more digits than its factorization.

11069644032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533865 (or 533842 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11069644032 in words is "eleven billion, sixty-nine million, six hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 533837 1067674 1601511 2135348 3203022 4270696 4804533 6406044 8541392 9609066 12812088 14413599 17082784 19218132 25624176 28827198 34165568 38436264 43240797 51248352 57654396 68331136 76872528 86481594 102496704 115308792 136662272 153745056 172963188 204993408 230617584 307490112 345926376 409986816 461235168 614980224 691852752 922470336 1229960448 1383705504 1844940672 2767411008 3689881344 5534822016 11069644032