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85626225408 = 283105592
BaseRepresentation
bin100111110111110111…
…0001000001100000000
322012000102211221022210
41033233232020030000
52400330303203113
6103200335102120
76120616623063
oct1175756101400
9265012757283
1085626225408
113334a854549
1214718071940
1380c7942189
14420408c8da
1523623c36c3
hex13efb88300

85626225408 has 54 divisors (see below), whose sum is σ = 227912215804. Its totient is φ = 28539372032.

The previous prime is 85626225403. The next prime is 85626225437. The reversal of 85626225408 is 80452262658.

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

It is not an unprimeable number, because it can be changed into a prime (85626225403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8104033 + ... + 8114591.

Almost surely, 285626225408 is an apocalyptic number.

It is an amenable number.

85626225408 is an abundant number, since it is smaller than the sum of its proper divisors (142285990396).

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

85626225408 is an frugal number, since it uses more digits than its factorization.

85626225408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21137 (or 10564 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

Multiplying 85626225408 by its sum of digits (48), we get a square (4110058819584 = 20273282).

85626225408 divided by its sum of digits (48) gives a square (1783879696 = 422362).

The spelling of 85626225408 in words is "eighty-five billion, six hundred twenty-six million, two hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 10559 21118 31677 42236 63354 84472 126708 168944 253416 337888 506832 675776 1013664 1351552 2027328 2703104 4054656 8109312 111492481 222984962 334477443 445969924 668954886 891939848 1337909772 1783879696 2675819544 3567759392 5351639088 7135518784 10703278176 14271037568 21406556352 28542075136 42813112704 85626225408