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10056110550600 = 2335258728552273
BaseRepresentation
bin1001001001010101111011…
…1001011010111001001000
31022121100120122010120001010
42102111132321122321020
52304224403300104400
633215414032523520
72055346536222342
oct222253671327110
938540518116033
1010056110550600
113227855275194
121164b370b05a0
1357c396b5cb5a
1426aa0b208292
151268b0eab450
hex9255ee5ae48

10056110550600 has 96 divisors (see below), whose sum is σ = 31227051028320. Its totient is φ = 2677061022720.

The previous prime is 10056110550503. The next prime is 10056110550617. The reversal of 10056110550600 is 605501165001.

10056110550600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100561105506002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13923937 + ... + 14628336.

It is an arithmetic number, because the mean of its divisors is an integer number (325281781545).

Almost surely, 210056110550600 is an apocalyptic number.

10056110550600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056110550600 is an abundant number, since it is smaller than the sum of its proper divisors (21170940477720).

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

10056110550600 is a wasteful number, since it uses less digits than its factorization.

10056110550600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28552879 (or 28552870 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 10056110550600 in words is "ten trillion, fifty-six billion, one hundred ten million, five hundred fifty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 587 600 1174 1761 2348 2935 3522 4696 5870 7044 8805 11740 14088 14675 17610 23480 29350 35220 44025 58700 70440 88050 117400 176100 352200 28552273 57104546 85656819 114209092 142761365 171313638 228418184 285522730 342627276 428284095 571045460 685254552 713806825 856568190 1142090920 1427613650 1713136380 2141420475 2855227300 3426272760 4282840950 5710454600 8565681900 16760184251 17131363800 33520368502 50280552753 67040737004 83800921255 100561105506 134081474008 167601842510 201122211012 251402763765 335203685020 402244422024 419004606275 502805527530 670407370040 838009212550 1005611055060 1257013818825 1676018425100 2011222110120 2514027637650 3352036850200 5028055275300 10056110550600