Search a number
-
+
82377351335655 = 3251830607807459
BaseRepresentation
bin10010101110101111111000…
…110000111000111011100111
3101210200012100020210212220200
4102232233320300320323213
541244132303420220110
6451111344402201543
723231365363056135
oct2256577060707347
9353605306725820
1082377351335655
112428004728a602
1292a53483532b3
1336c71c66a888c
14164b129652755
1597cc55c9e6c0
hex4aebf8c38ee7

82377351335655 has 12 divisors (see below), whose sum is σ = 142787408981880. Its totient is φ = 43934587378992.

The previous prime is 82377351335647. The next prime is 82377351335717. The reversal of 82377351335655 is 55653315377328.

82377351335655 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 7 + 35 + 1 + 33 + 565 + 5 = 666.

It is not a de Polignac number, because 82377351335655 - 23 = 82377351335647 is a prime.

It is a super-2 number, since 2×823773513356552 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82377351335592 and 82377351335601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915303903685 + ... + 915303903774.

It is an arithmetic number, because the mean of its divisors is an integer number (11898950748490).

Almost surely, 282377351335655 is an apocalyptic number.

82377351335655 is a deficient number, since it is larger than the sum of its proper divisors (60410057646225).

82377351335655 is a wasteful number, since it uses less digits than its factorization.

82377351335655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830607807470 (or 1830607807467 counting only the distinct ones).

The product of its digits is 238140000, while the sum is 63.

The spelling of 82377351335655 in words is "eighty-two trillion, three hundred seventy-seven billion, three hundred fifty-one million, three hundred thirty-five thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 45 1830607807459 5491823422377 9153039037295 16475470267131 27459117111885 82377351335655