Search a number
-
+
85975740928 = 297112180797
BaseRepresentation
bin101000000010010001…
…1011011001000000000
322012220210112011111001
41100010203123020000
52402034242202203
6103255142301344
76132362511550
oct1200443331000
9265823464431
1085975740928
113350a078750
12147b5127854
1381521889ac
144238671160
152382e1391d
hex14048db200

85975740928 has 80 divisors (see below), whose sum is σ = 214171809984. Its totient is φ = 33497026560.

The previous prime is 85975740919. The next prime is 85975740937. The reversal of 85975740928 is 82904757958.

It is an interprime number because it is at equal distance from previous prime (85975740919) and next prime (85975740937).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 85975740928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050975 + ... + 1129822.

Almost surely, 285975740928 is an apocalyptic number.

85975740928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85975740928 is an abundant number, since it is smaller than the sum of its proper divisors (128196069056).

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

85975740928 is a wasteful number, since it uses less digits than its factorization.

85975740928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180833 (or 2180817 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 64.

The spelling of 85975740928 in words is "eighty-five billion, nine hundred seventy-five million, seven hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1232 1408 1792 2464 2816 3584 4928 5632 9856 19712 39424 2180797 4361594 8723188 15265579 17446376 23988767 30531158 34892752 47977534 61062316 69785504 95955068 122124632 139571008 167921369 191910136 244249264 279142016 335842738 383820272 488498528 558284032 671685476 767640544 976997056 1116568064 1343370952 1535281088 1953994112 2686741904 3070562176 3907988224 5373483808 6141124352 7815976448 10746967616 12282248704 21493935232 42987870464 85975740928