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553112211355 = 511409136717987
BaseRepresentation
bin10000000110010000000…
…11101000111110011011
31221212200100012121020121
420003020003220332123
533030233211230410
61102032442134111
754650431136524
oct10031003507633
91855610177217
10553112211355
111a3634472a50
128b2441b1337
13402098cca82
141cab100984b
15e5c38349da
hex80c80e8f9b

553112211355 has 32 divisors (see below), whose sum is σ = 726415879680. Its totient is φ = 400964056320.

The previous prime is 553112211347. The next prime is 553112211371.

It is a happy number.

553112211355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 553112211355 - 23 = 553112211347 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 553112211355.

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 31 ways as a sum of consecutive naturals, for example, 30741672 + ... + 30759658.

It is an arithmetic number, because the mean of its divisors is an integer number (22700496240).

Almost surely, 2553112211355 is an apocalyptic number.

553112211355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

553112211355 is a deficient number, since it is larger than the sum of its proper divisors (173303668325).

553112211355 is a wasteful number, since it uses less digits than its factorization.

553112211355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19779.

The product of its digits is 22500, while the sum is 34.

It can be divided in two parts, 553112 and 211355, that added together give a palindrome (764467).

The spelling of 553112211355 in words is "five hundred fifty-three billion, one hundred twelve million, two hundred eleven thousand, three hundred fifty-five".

Divisors: 1 5 11 55 409 1367 2045 4499 6835 15037 17987 22495 75185 89935 197857 559103 989285 2795515 6150133 7356683 24588229 30750665 36783415 80923513 122941145 270470519 404617565 1352352595 10056585661 50282928305 110622442271 553112211355