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553313040042 = 23723078117559
BaseRepresentation
bin10000000110101000000…
…01101111011010101010
31221220012100002202102010
420003110001233122222
533031141114240132
61102104414420350
754655420145100
oct10032401573252
91856170082363
10553313040042
111a3727871574
128b29b5016b6
134023c3b7309
141cacd965c70
15e5d62a46cc
hex80d406f6aa

553313040042 has 96 divisors (see below), whose sum is σ = 1293256419840. Its totient is φ = 157359373920.

The previous prime is 553313040037. The next prime is 553313040053. The reversal of 553313040042 is 240040313355.

It is a junction number, because it is equal to n+sod(n) for n = 553313039991 and 553313040009.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 73195459 + ... + 73203017.

It is an arithmetic number, because the mean of its divisors is an integer number (13471421040).

Almost surely, 2553313040042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553313040042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646628209920).

553313040042 is an abundant number, since it is smaller than the sum of its proper divisors (739943379798).

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

553313040042 is a wasteful number, since it uses less digits than its factorization.

553313040042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8696 (or 8689 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 553313040042 its reverse (240040313355), we get a palindrome (793353353397).

The spelling of 553313040042 in words is "five hundred fifty-three billion, three hundred thirteen million, forty thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 307 614 811 921 1622 1842 2149 2433 4298 4866 5677 6447 7559 11354 12894 15043 15118 17031 22677 30086 34062 39739 45129 45354 52913 79478 90258 105826 119217 158739 238434 248977 317478 370391 497954 740782 746931 1111173 1493862 1742839 2222346 2320613 3485678 4641226 5228517 6130349 6961839 10457034 12199873 12260698 13923678 16244291 18391047 24399746 32488582 36599619 36782094 42912443 48732873 73199238 85824886 97465746 113710037 128737329 227420074 257474658 300387101 341130111 600774202 682260222 901161303 1802322606 1882017143 3764034286 5646051429 11292102858 13174120001 26348240002 39522360003 79044720006 92218840007 184437680014 276656520021 553313040042