Search a number
-
+
83918455842897 = 32132145177380041
BaseRepresentation
bin10011000101001011001001…
…110000000010100001010001
3102000010112012110211100020100
4103011023021300002201101
541444404444143433042
6454251334552203013
723450623365203214
oct2305131160024121
9360115173740210
1083918455842897
1124814687634635
1294b3b61099469
1337a9626942b00
1416a196403d77b
159a7da1aa724c
hex4c52c9c02851

83918455842897 has 36 divisors (see below), whose sum is σ = 131258321455404. Its totient is φ = 51641635069440.

The previous prime is 83918455842857. The next prime is 83918455842917. The reversal of 83918455842897 is 79824855481938.

It is a happy number.

83918455842897 is a `hidden beast` number, since 8 + 3 + 9 + 1 + 8 + 4 + 5 + 584 + 28 + 9 + 7 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4337622628416 + 79580833214481 = 2082696^2 + 8920809^2 .

It is not a de Polignac number, because 83918455842897 - 210 = 83918455841873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83918455842857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220624197 + ... + 221004237.

Almost surely, 283918455842897 is an apocalyptic number.

It is an amenable number.

83918455842897 is a deficient number, since it is larger than the sum of its proper divisors (47339865612507).

83918455842897 is a wasteful number, since it uses less digits than its factorization.

83918455842897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525250 (or 525234 counting only the distinct ones).

The product of its digits is 5573836800, while the sum is 81.

The spelling of 83918455842897 in words is "eighty-three trillion, nine hundred eighteen billion, four hundred fifty-five million, eight hundred forty-two thousand, eight hundred ninety-seven".

Divisors: 1 3 9 13 39 117 169 507 1521 145177 380041 435531 1140123 1306593 1887301 3420369 4940533 5661903 14821599 16985709 24534913 44464797 64226929 73604739 192680787 220814217 578042361 55173212257 165519636771 496558910313 717251759341 2151755278023 6455265834069 9324272871433 27972818614299 83918455842897