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28553034240 = 293251239281
BaseRepresentation
bin11010100101111001…
…001011101000000000
32201200220120102111200
4122211321023220000
5431434034043430
621041142341200
72030366533533
oct324571135000
981626512450
1028553034240
1111122497265
12564a42a800
132900681343
14154c1cca1a
15b21aa8460
hex6a5e4ba00

28553034240 has 120 divisors (see below), whose sum is σ = 98887267908. Its totient is φ = 7614136320.

The previous prime is 28553034217. The next prime is 28553034259. The reversal of 28553034240 is 4243035582.

28553034240 is a `hidden beast` number, since 2 + 85 + 530 + 3 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28272404736 + 280629504 = 168144^2 + 16752^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×285530342402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 28553034195 and 28553034204.

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, 596601 + ... + 642680.

Almost surely, 228553034240 is an apocalyptic number.

28553034240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28553034240 is an abundant number, since it is smaller than the sum of its proper divisors (70334233668).

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

28553034240 is a wasteful number, since it uses less digits than its factorization.

28553034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239310 (or 1239291 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 28553034240 in words is "twenty-eight billion, five hundred fifty-three million, thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 1239281 2478562 3717843 4957124 6196405 7435686 9914248 11153529 12392810 14871372 18589215 19828496 22307058 24785620 29742744 37178430 39656992 44614116 49571240 55767645 59485488 74356860 79313984 89228232 99142480 111535290 118970976 148713720 158627968 178456464 198284960 223070580 237941952 297427440 317255936 356912928 396569920 446141160 475883904 594854880 634511872 713825856 793139840 892282320 951767808 1189709760 1427651712 1586279680 1784564640 1903535616 2379419520 2855303424 3172559360 3569129280 4758839040 5710606848 7138258560 9517678080 14276517120 28553034240