Search a number
-
+
500535240036496 = 24724175120734559
BaseRepresentation
bin111000111001110111111000…
…1001011100001000010010000
32102122020200221111010200202221
41301303233301023201002100
51011101232132422131441
64532314414225150424
7210300322600254400
oct16163576113410220
92378220844120687
10500535240036496
1113553889208a275
124817b0bb18b414
131863a369699a62
148b8606b9d0800
153cd010c1c88d1
hex1c73bf12e1090

500535240036496 has 120 divisors (see below), whose sum is σ = 1157173566151680. Its totient is φ = 209004344640000.

The previous prime is 500535240036467. The next prime is 500535240036497. The reversal of 500535240036496 is 694630042535005.

It is not an unprimeable number, because it can be changed into a prime (500535240036497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13772865 + ... + 34507423.

It is an arithmetic number, because the mean of its divisors is an integer number (9643113051264).

Almost surely, 2500535240036496 is an apocalyptic number.

500535240036496 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 500535240036496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578586783075840).

500535240036496 is an abundant number, since it is smaller than the sum of its proper divisors (656638326115184).

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

500535240036496 is a wasteful number, since it uses less digits than its factorization.

500535240036496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20735373 (or 20735360 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 52.

The spelling of 500535240036496 in words is "five hundred trillion, five hundred thirty-five billion, two hundred forty million, thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 751 784 1148 1502 2009 2296 3004 4018 4592 5257 6008 8036 10514 12016 16072 21028 30791 32144 36799 42056 61582 73598 84112 123164 147196 215537 246328 294392 431074 492656 588784 862148 1508759 1724296 3017518 3448592 6035036 12070072 20734559 24140144 41469118 82938236 145141913 165876472 290283826 331752944 580567652 850116919 1015993391 1161135304 1700233838 2031986782 2322270608 3400467676 4063973564 5950818433 6800935352 8127947128 11901636866 13601870704 15571653809 16255894256 23803273732 31143307618 41655729031 47606547464 62286615236 83311458062 95213094928 109001576663 124573230472 166622916124 218003153326 249146460944 333245832248 436006306652 638437806169 666491664496 763011036641 872012613304 1276875612338 1526022073282 1744025226608 2553751224676 3052044146564 4469064643183 5107502449352 6104088293128 8938129286366 10215004898704 12208176586256 17876258572732 31283452502281 35752517145464 62566905004562 71505034290928 125133810009124 250267620018248 500535240036496