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11884560384 = 22131889
BaseRepresentation
bin10110001000110000…
…00000000000000000
31010200020220012222010
423010120000000000
5143314421413014
65243143212520
7600340045044
oct130430000000
933606805863
1011884560384
115049585134
122378147140
131175276568
1480a56c024
1549856b359
hex2c4600000

11884560384 has 88 divisors (see below), whose sum is σ = 31708930680. Its totient is φ = 3959422976.

The previous prime is 11884560371. The next prime is 11884560397. The reversal of 11884560384 is 48306548811.

It is an interprime number because it is at equal distance from previous prime (11884560371) and next prime (11884560397).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6290512 + ... + 6292400.

Almost surely, 211884560384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11884560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854465340).

11884560384 is an abundant number, since it is smaller than the sum of its proper divisors (19824370296).

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

11884560384 is an frugal number, since it uses more digits than its factorization.

11884560384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 11884560384 in words is "eleven billion, eight hundred eighty-four million, five hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1889 2048 3072 3778 4096 5667 6144 7556 8192 11334 12288 15112 16384 22668 24576 30224 32768 45336 49152 60448 65536 90672 98304 120896 131072 181344 196608 241792 262144 362688 393216 483584 524288 725376 786432 967168 1048576 1450752 1572864 1934336 2097152 2901504 3145728 3868672 5803008 6291456 7737344 11606016 15474688 23212032 30949376 46424064 61898752 92848128 123797504 185696256 247595008 371392512 495190016 742785024 990380032 1485570048 1980760064 2971140096 3961520128 5942280192 11884560384