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501378538656 = 25319937676967
BaseRepresentation
bin1110100101111000111…
…11010101110010100000
31202221010221011201202210
413102330133111302200
531203310401214111
61022155150042120
751136425155442
oct7227437256240
91687127151683
10501378538656
111836a7128a46
12812067a9340
1338383923c18
141a3a434a492
15d096b890a6
hex74bc7d5ca0

501378538656 has 96 divisors (see below), whose sum is σ = 1323273369600. Its totient is φ = 166218345216.

The previous prime is 501378538649. The next prime is 501378538691. The reversal of 501378538656 is 656835873105.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 501378538596 and 501378538605.

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, 71961285 + ... + 71968251.

It is an arithmetic number, because the mean of its divisors is an integer number (13784097600).

Almost surely, 2501378538656 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 501378538656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661636684800).

501378538656 is an abundant number, since it is smaller than the sum of its proper divisors (821894830944).

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

501378538656 is a wasteful number, since it uses less digits than its factorization.

501378538656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946 (or 10938 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 501378538656 in words is "five hundred one billion, three hundred seventy-eight million, five hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 3767 4776 6368 6967 7534 9552 11301 13934 15068 19104 20901 22602 27868 30136 41802 45204 55736 60272 83604 90408 111472 120544 167208 180816 222944 334416 361632 668832 749633 1386433 1499266 2248899 2772866 2998532 4159299 4497798 5545732 5997064 8318598 8995596 11091464 11994128 16637196 17991192 22182928 23988256 26244689 33274392 35982384 44365856 52489378 66548784 71964768 78734067 104978756 133097568 157468134 209957512 314936268 419915024 629872536 839830048 1259745072 2519490144 5222693111 10445386222 15668079333 20890772444 31336158666 41781544888 62672317332 83563089776 125344634664 167126179552 250689269328 501378538656