Search a number
-
+
506123545368 = 23375356842267
BaseRepresentation
bin1110101110101110101…
…00000110101100011000
31210101101121202001022010
413113113110012230120
531243020111422433
61024302052025520
751365133103320
oct7272724065430
91711347661263
10506123545368
111857116017a1
128210b9022a0
133895b9b23bc
141a6d45d2280
15d273521e63
hex75d7506b18

506123545368 has 64 divisors (see below), whose sum is σ = 1473351586560. Its totient is φ = 141878295936.

The previous prime is 506123545357. The next prime is 506123545381. The reversal of 506123545368 is 863545321605.

It is a super-2 number, since 2×5061235453682 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28412230 + ... + 28430037.

It is an arithmetic number, because the mean of its divisors is an integer number (23021118540).

Almost surely, 2506123545368 is an apocalyptic number.

It is an amenable number.

506123545368 is an abundant number, since it is smaller than the sum of its proper divisors (967228041192).

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

506123545368 is a wasteful number, since it uses less digits than its factorization.

506123545368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56842336 (or 56842332 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 506123545368 in words is "five hundred six billion, one hundred twenty-three million, five hundred forty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 56842267 113684534 170526801 227369068 341053602 397895869 454738136 682107204 795791738 1193687607 1364214408 1591583476 2387375214 3012640151 3183166952 4774750428 6025280302 9037920453 9549500856 12050560604 18075840906 21088481057 24101121208 36151681812 42176962114 63265443171 72303363624 84353924228 126530886342 168707848456 253061772684 506123545368