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28485213806304 = 253333797830853
BaseRepresentation
bin1100111101000001110110…
…00011001101111011100000
310201212011022112020011012000
412132200323003031323200
512213200204213300204
6140325532050004000
75666663103240213
oct636407303157340
9121764275204160
1028485213806304
119092569649582
123240760576600
1312b81b4889108
1470699807377a
15345e747a0039
hex19e83b0cdee0

28485213806304 has 96 divisors (see below), whose sum is σ = 83328408203040. Its totient is φ = 9466895886336.

The previous prime is 28485213806299. The next prime is 28485213806321. The reversal of 28485213806304 is 40360831258482.

28485213806304 is a `hidden beast` number, since 2 + 8 + 4 + 8 + 521 + 3 + 80 + 6 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×284852138063042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48624259 + ... + 49206594.

It is an arithmetic number, because the mean of its divisors is an integer number (868004252115).

Almost surely, 228485213806304 is an apocalyptic number.

28485213806304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28485213806304 is an abundant number, since it is smaller than the sum of its proper divisors (54843194396736).

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

28485213806304 is a wasteful number, since it uses less digits than its factorization.

28485213806304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97831209 (or 97831195 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 28485213806304 in words is "twenty-eight trillion, four hundred eighty-five billion, two hundred thirteen million, eight hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 337 432 674 864 1011 1348 2022 2696 3033 4044 5392 6066 8088 9099 10784 12132 16176 18198 24264 32352 36396 48528 72792 97056 145584 291168 97830853 195661706 293492559 391323412 586985118 782646824 880477677 1173970236 1565293648 1760955354 2347940472 2641433031 3130587296 3521910708 4695880944 5282866062 7043821416 9391761888 10565732124 14087642832 21131464248 28175285664 32968997461 42262928496 65937994922 84525856992 98906992383 131875989844 197813984766 263751979688 296720977149 395627969532 527503959376 593441954298 791255939064 890162931447 1055007918752 1186883908596 1582511878128 1780325862894 2373767817192 3165023756256 3560651725788 4747535634384 7121303451576 9495071268768 14242606903152 28485213806304