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4456541312136 = 233261896407113
BaseRepresentation
bin100000011011001111010…
…0011111101010010001000
3120210001010000201022212200
41000312132203331102020
51041003444033442021
613251150134440200
7636655151063544
oct100663643752210
916701100638780
104456541312136
111469010430701
125bb85a803060
13264333460494
141159aa8aca24
157add165a126
hex40d9e8fd488

4456541312136 has 24 divisors (see below), whose sum is σ = 12069799387230. Its totient is φ = 1485513770688.

The previous prime is 4456541312101. The next prime is 4456541312161. The reversal of 4456541312136 is 6312131456544.

4456541312136 is a `hidden beast` number, since 4 + 4 + 56 + 541 + 3 + 1 + 21 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4337097804900 + 119443507236 = 2082570^2 + 345606^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 4456541312091 and 4456541312100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30948203485 + ... + 30948203628.

Almost surely, 24456541312136 is an apocalyptic number.

It is an amenable number.

4456541312136 is an abundant number, since it is smaller than the sum of its proper divisors (7613258075094).

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

4456541312136 is a wasteful number, since it uses less digits than its factorization.

4456541312136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61896407125 (or 61896407118 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 4456541312136 in words is "four trillion, four hundred fifty-six billion, five hundred forty-one million, three hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 61896407113 123792814226 185689221339 247585628452 371378442678 495171256904 557067664017 742756885356 1114135328034 1485513770712 2228270656068 4456541312136