Search a number
-
+
500936378501496 = 233741564112892387
BaseRepresentation
bin111000111100110010101011…
…0111001010100100101111000
32102200200001100111221002011010
41301321211112321110211320
51011124320200344021441
64533222554554433520
7210341313305044350
oct16171452671244570
92380601314832133
10500936378501496
11135682a1a309233
12482249ab7328a0
1318669136b35a12
148b9b643065b60
153cda788a05116
hex1c79956e54978

500936378501496 has 128 divisors (see below), whose sum is σ = 1466415278415360. Its totient is φ = 139609069516800.

The previous prime is 500936378501459. The next prime is 500936378501593. The reversal of 500936378501496 is 694105873639005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32409015 + ... + 45301401.

It is an arithmetic number, because the mean of its divisors is an integer number (11456369362620).

Almost surely, 2500936378501496 is an apocalyptic number.

500936378501496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500936378501496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733207639207680).

500936378501496 is an abundant number, since it is smaller than the sum of its proper divisors (965478899913864).

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

500936378501496 is a wasteful number, since it uses less digits than its factorization.

500936378501496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12898085 (or 12898081 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 66.

The spelling of 500936378501496 in words is "five hundred trillion, nine hundred thirty-six billion, three hundred seventy-eight million, five hundred one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 5641 6888 11282 16923 22564 33846 39487 45128 67692 78974 118461 135384 157948 231281 236922 315896 462562 473844 693843 925124 947688 1387686 1618967 1850248 2775372 3237934 4856901 5550744 6475868 9713802 12892387 12951736 19427604 25784774 38677161 38855208 51569548 77354322 90246709 103139096 154708644 180493418 270740127 309417288 360986836 528587867 541480254 721973672 1057175734 1082960508 1585763601 2114351468 2165921016 3171527202 3700115069 4228702936 6343054404 7400230138 11100345207 12686108808 14800460276 22200690414 29600920552 44401380828 72725955067 88802761656 145451910134 218177865201 290903820268 436355730402 509081685469 581807640536 872711460804 1018163370938 1527245056407 1745422921608 2036326741876 2981764157747 3054490112814 4072653483752 5963528315494 6108980225628 8945292473241 11927056630988 12217960451256 17890584946482 20872349104229 23854113261976 35781169892964 41744698208458 62617047312687 71562339785928 83489396416916 125234094625374 166978792833832 250468189250748 500936378501496