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504917480452 = 227114761756531
BaseRepresentation
bin1110101100011110110…
…11010101010000000100
31210021021120022121021011
413112033123111100010
531233032333333302
61023542245532004
751323216525140
oct7261733252004
91707246277234
10504917480452
11185152833330
1281a33a14004
13387c8b76518
141a61c364220
15d2026d95d7
hex758f6d5404

504917480452 has 96 divisors (see below), whose sum is σ = 1126920646656. Its totient is φ = 192220089600.

The previous prime is 504917480411. The next prime is 504917480477. The reversal of 504917480452 is 254084719405.

It is a junction number, because it is equal to n+sod(n) for n = 504917480396 and 504917480405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8903427 + ... + 8959957.

It is an arithmetic number, because the mean of its divisors is an integer number (11738756736).

Almost surely, 2504917480452 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 504917480452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563460323328).

504917480452 is an abundant number, since it is smaller than the sum of its proper divisors (622003166204).

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

504917480452 is a wasteful number, since it uses less digits than its factorization.

504917480452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57217 (or 57215 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 504917480452 in words is "five hundred four billion, nine hundred seventeen million, four hundred eighty thousand, four hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 617 658 1034 1234 1316 2068 2468 3619 4319 6787 7238 8638 13574 14476 17276 27148 28999 47509 56531 57998 95018 113062 115996 190036 202993 226124 318989 395717 405986 621841 637978 791434 811972 1243682 1275956 1582868 2232923 2487364 2656957 4352887 4465846 5313914 8705774 8931692 10627828 17411548 18598699 29226527 34879627 37197398 58453054 69759254 74394796 116906108 139518508 204585689 244157389 383675897 409171378 488314778 767351794 818342756 976629556 1534703588 1639342469 2685731279 3278684938 5371462558 6557369876 10742925116 11475397283 18032767159 22950794566 36065534318 45901589132 72131068636 126229370113 252458740226 504917480452