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10506225520 = 245718761117
BaseRepresentation
bin10011100100011100…
…00100011101110000
31000010012022112222201
421302032010131300
5133004043204040
64454304512544
7521232305050
oct116216043560
930105275881
1010506225520
11450154380a
12205261b754
13cb58420bb
14719499560
15417555a9a
hex272384770

10506225520 has 40 divisors (see below), whose sum is σ = 27916543584. Its totient is φ = 3602134272.

The previous prime is 10506225487. The next prime is 10506225547. The reversal of 10506225520 is 2552260501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105062255202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9379999 + ... + 9381118.

Almost surely, 210506225520 is an apocalyptic number.

10506225520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506225520 is an abundant number, since it is smaller than the sum of its proper divisors (17410318064).

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

10506225520 is a wasteful number, since it uses less digits than its factorization.

10506225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18761137 (or 18761131 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 10506225520 in words is "ten billion, five hundred six million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 18761117 37522234 75044468 93805585 131327819 150088936 187611170 262655638 300177872 375222340 525311276 656639095 750444680 1050622552 1313278190 1500889360 2101245104 2626556380 5253112760 10506225520