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56608600146 = 23721129917041
BaseRepresentation
bin110100101110001000…
…101011000001010010
312102010011001211202020
4310232020223001102
51411413300201041
642001114432310
74042546106400
oct645610530122
9172104054666
1056608600146
112200a09616a
12ab7a132696
135451c55a07
142a502c4470
151714b48866
hexd2e22b052

56608600146 has 48 divisors (see below), whose sum is σ = 131721026400. Its totient is φ = 16171505280.

The previous prime is 56608600129. The next prime is 56608600151. The reversal of 56608600146 is 64100680665.

It is a super-2 number, since 2×566086001462 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 56608600098 and 56608600107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3313386 + ... + 3330426.

It is an arithmetic number, because the mean of its divisors is an integer number (2744188050).

Almost surely, 256608600146 is an apocalyptic number.

56608600146 is an abundant number, since it is smaller than the sum of its proper divisors (75112426254).

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

56608600146 is a wasteful number, since it uses less digits than its factorization.

56608600146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28359 (or 28352 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 56608600146 in words is "fifty-six billion, six hundred eight million, six hundred thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 11299 17041 22598 33897 34082 51123 67794 79093 102246 119287 158186 237279 238574 357861 474558 553651 715722 835009 1107302 1660953 1670018 2505027 3321906 5010054 192546259 385092518 577638777 1155277554 1347823813 2695647626 4043471439 8086942878 9434766691 18869533382 28304300073 56608600146