Search a number
-
+
61534744743516 = 223113323140286581
BaseRepresentation
bin11011111110111001011001…
…00110100000111001011100
322001212122221011101111120020
431333130230212200321130
531031141124123243031
6334512401012352140
715650511224133342
oct1577345446407134
9261778834344506
1061534744743516
1118674814222560
126a99a19615650
132844917355615
14112a424625992
1571a9d73ab096
hex37f72c9a0e5c

61534744743516 has 48 divisors (see below), whose sum is σ = 156681033118848. Its totient is φ = 18641280750400.

The previous prime is 61534744743503. The next prime is 61534744743557.

61534744743516 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 61534744743516.

It is a congruent number.

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, 69704655 + ... + 70581926.

It is an arithmetic number, because the mean of its divisors is an integer number (3264188189976).

Almost surely, 261534744743516 is an apocalyptic number.

61534744743516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61534744743516 is an abundant number, since it is smaller than the sum of its proper divisors (95146288375332).

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

61534744743516 is a wasteful number, since it uses less digits than its factorization.

61534744743516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140289922 (or 140289920 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 60.

The spelling of 61534744743516 in words is "sixty-one trillion, five hundred thirty-four billion, seven hundred forty-four million, seven hundred forty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3323 6646 9969 13292 19938 36553 39876 73106 109659 146212 219318 438636 140286581 280573162 420859743 561146324 841719486 1543152391 1683438972 3086304782 4629457173 6172609564 9258914346 18517828692 466172308663 932344617326 1398516925989 1864689234652 2797033851978 5127895395293 5594067703956 10255790790586 15383686185879 20511581581172 30767372371758 61534744743516