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506040454356 = 223193899116263
BaseRepresentation
bin1110101110100100101…
…11001000110011010100
31210101011211101120212020
413113102113020303110
531242332324014411
61024245523053140
751363103614423
oct7272227106324
91711154346766
10506040454356
1118567970a238
12820a7b111b0
133894770c118
141a6c75632ba
15d26b0ac606
hex75d25c8cd4

506040454356 has 96 divisors (see below), whose sum is σ = 1247668531200. Its totient is φ = 159191061120.

The previous prime is 506040454351. The next prime is 506040454357. The reversal of 506040454356 is 653454040605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506040454351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80795281 + ... + 80801543.

It is an arithmetic number, because the mean of its divisors is an integer number (12996547200).

Almost surely, 2506040454356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506040454356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623834265600).

506040454356 is an abundant number, since it is smaller than the sum of its proper divisors (741628076844).

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

506040454356 is a wasteful number, since it uses less digits than its factorization.

506040454356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7589 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 506040454356 in words is "five hundred six billion, forty million, four hundred fifty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 389 778 911 1167 1556 1822 2334 2733 3644 4668 5466 6263 7391 10932 12526 14782 17309 18789 22173 25052 29564 34618 37578 44346 51927 69236 75156 88692 103854 118997 207708 237994 354379 356991 475988 708758 713982 1063137 1417516 1427964 2126274 2436307 4252548 4872614 5705593 6733201 7308921 9745228 11411186 13466402 14617842 17116779 20199603 22822372 26932804 29235684 34233558 40399206 46289833 68467116 80798412 92579666 108406267 138869499 185159332 216812534 277738998 325218801 433625068 555477996 650437602 1300875204 2219475677 4438951354 6658427031 8877902708 13316854062 26633708124 42170037863 84340075726 126510113589 168680151452 253020227178 506040454356