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506051085576 = 23323792146893
BaseRepresentation
bin1110101110100101111…
…11101100010100001000
31210101012120101201011010
413113102333230110020
531242343034214301
61024250543003520
751363263153301
oct7272277542410
91711176351133
10506051085576
11185684710673
12820ab5995a0
133894999209a
141a6c8b2d7a8
15d26beac5d6
hex75d2fec508

506051085576 has 96 divisors (see below), whose sum is σ = 1337064442560. Its totient is φ = 159306136704.

The previous prime is 506051085569. The next prime is 506051085647. The reversal of 506051085576 is 675580150605.

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, 3371586 + ... + 3518478.

It is an arithmetic number, because the mean of its divisors is an integer number (13927754610).

Almost surely, 2506051085576 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 506051085576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668532221280).

506051085576 is an abundant number, since it is smaller than the sum of its proper divisors (831013356984).

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

506051085576 is a wasteful number, since it uses less digits than its factorization.

506051085576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147083 (or 147000 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 48.

The spelling of 506051085576 in words is "five hundred six billion, fifty-one million, eighty-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 79 92 138 158 184 237 276 316 474 552 632 948 1817 1896 3634 5451 6241 7268 10902 12482 14536 18723 21804 24964 37446 43608 49928 74892 143543 146893 149784 287086 293786 430629 440679 574172 587572 861258 881358 1148344 1175144 1722516 1762716 3378539 3445032 3525432 6757078 10135617 11604547 13514156 20271234 23209094 27028312 34813641 40542468 46418188 69627282 81084936 92836376 139254564 266904581 278509128 533809162 800713743 916759213 1067618324 1601427486 1833518426 2135236648 2750277639 3202854972 3667036852 5500555278 6405709944 7334073704 11001110556 21085461899 22002221112 42170923798 63256385697 84341847596 126512771394 168683695192 253025542788 506051085576