Search a number
-
+
85957620897 = 31729471976277
BaseRepresentation
bin101000000001101111…
…0010011010010100001
322012212112102120110210
41100003132103102201
52402020122332042
6103253254044333
76132052502511
oct1200336232241
9265775376423
1085957620897
11334aa921915
12147ab0496a9
13814b4b3195
1442360b5841
152381534a9c
hex14037934a1

85957620897 has 64 divisors (see below), whose sum is σ = 128878801920. Its totient is φ = 50699636736.

The previous prime is 85957620883. The next prime is 85957620937. The reversal of 85957620897 is 79802675958.

It is a happy number.

It is not a de Polignac number, because 85957620897 - 27 = 85957620769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85957420897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13690923 + ... + 13697199.

It is an arithmetic number, because the mean of its divisors is an integer number (2013731280).

Almost surely, 285957620897 is an apocalyptic number.

85957620897 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85957620897 is a deficient number, since it is larger than the sum of its proper divisors (42921181023).

85957620897 is a wasteful number, since it uses less digits than its factorization.

85957620897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570.

The product of its (nonzero) digits is 76204800, while the sum is 66.

The spelling of 85957620897 in words is "eighty-five billion, nine hundred fifty-seven million, six hundred twenty thousand, eight hundred ninety-seven".

Divisors: 1 3 17 29 47 51 87 141 197 493 591 799 1363 1479 2397 3349 4089 5713 6277 9259 10047 17139 18831 23171 27777 69513 97121 106709 157403 182033 268511 291363 295019 320127 472209 546099 805533 885057 1236569 3094561 3709707 4564687 5015323 8555551 9283683 13694061 15045969 21021673 25666653 35860501 58118743 63065019 107581503 145444367 174356229 436333101 609628517 988018631 1685443547 1828885551 2964055893 5056330641 28652540299 85957620897