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40163257353968 = 2478091801246121
BaseRepresentation
bin10010010000111001111001…
…01100000000011011110000
312021012120101110102212220222
421020130330230000123300
520231013322340311333
6221230425023552212
711313461646463520
oct1110347454003360
9167176343385828
1040163257353968
11118851617a4501
124607aa975b668
1319544c0634668
149cbcaa867680
15499b12636298
hex24873cb006f0

40163257353968 has 80 divisors (see below), whose sum is σ = 89092659222720. Its totient is φ = 17181932544000.

The previous prime is 40163257353929. The next prime is 40163257353983. The reversal of 40163257353968 is 86935375236104.

It is a super-2 number, since 2×401632573539682 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40163257353968.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 163061948 + ... + 163308068.

It is an arithmetic number, because the mean of its divisors is an integer number (1113658240284).

It is a 2-persistent number, because it is pandigital, and so is 2⋅40163257353968 = 80326514707936, but 3⋅40163257353968 = 120489772061904 is not.

Almost surely, 240163257353968 is an apocalyptic number.

It is an amenable number.

40163257353968 is an abundant number, since it is smaller than the sum of its proper divisors (48929401868752).

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

40163257353968 is a wasteful number, since it uses less digits than its factorization.

40163257353968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248746 (or 248740 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 62.

The spelling of 40163257353968 in words is "forty trillion, one hundred sixty-three billion, two hundred fifty-seven million, three hundred fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 809 1618 1801 3236 3602 5663 6472 7204 11326 12607 12944 14408 22652 25214 28816 45304 50428 90608 100856 201712 246121 492242 984484 1457009 1722847 1968968 2914018 3445694 3937936 5828036 6891388 10199063 11656072 13782776 20398126 23312144 27565552 40796252 81592504 163185008 199111889 398223778 443263921 796447556 886527842 1393783223 1592895112 1773055684 2787566446 3102847447 3185790224 3546111368 5575132892 6205694894 7092222736 11150265784 12411389788 22300531568 24822779576 49645559152 358600512089 717201024178 1434402048356 2510203584623 2868804096712 5020407169246 5737608193424 10040814338492 20081628676984 40163257353968