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28291711104 = 27342728753
BaseRepresentation
bin11010010110010100…
…010100000010000000
32201000200211211120000
4122112110110002000
5430420134223404
620555205320000
72021044401516
oct322624240200
981020754500
1028291711104
1110aa8a2a328
125596a06000
13288b4a5a77
1415256064b6
15b08b89339
hex696514080

28291711104 has 80 divisors (see below), whose sum is σ = 84195704670. Its totient is φ = 9430566912.

The previous prime is 28291711099. The next prime is 28291711111. The reversal of 28291711104 is 40111719282.

It can be written as a sum of positive squares in only one way, i.e., 27638397504 + 653313600 = 166248^2 + 25560^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1354009 + ... + 1374744.

Almost surely, 228291711104 is an apocalyptic number.

28291711104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28291711104 is an abundant number, since it is smaller than the sum of its proper divisors (55903993566).

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

28291711104 is an equidigital number, since it uses as much as digits as its factorization.

28291711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728779 (or 2728758 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 28291711104 in words is "twenty-eight billion, two hundred ninety-one million, seven hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 2728753 5457506 8186259 10915012 16372518 21830024 24558777 32745036 43660048 49117554 65490072 73676331 87320096 98235108 130980144 147352662 174640192 196470216 221028993 261960288 294705324 349280384 392940432 442057986 523920576 589410648 785880864 884115972 1047841152 1178821296 1571761728 1768231944 2357642592 3143523456 3536463888 4715285184 7072927776 9430570368 14145855552 28291711104