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85642373656 = 23721132577523
BaseRepresentation
bin100111111000010101…
…1101110101000011000
322012001120020100120001
41033300223232220120
52400343421424111
6103202113142344
76121204110400
oct1176053565030
9265046210501
1085642373656
1133358983a04
121472155a9b4
1380cb0a7358
144206293800
152363a131c1
hex13f0aeea18

85642373656 has 96 divisors (see below), whose sum is σ = 189207984240. Its totient is φ = 36232691712.

The previous prime is 85642373651. The next prime is 85642373683. The reversal of 85642373656 is 65637324658.

It is a junction number, because it is equal to n+sod(n) for n = 85642373597 and 85642373606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85642373651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11380311 + ... + 11387833.

Almost surely, 285642373656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85642373656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94603992120).

85642373656 is an abundant number, since it is smaller than the sum of its proper divisors (103565610584).

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

85642373656 is a wasteful number, since it uses less digits than its factorization.

85642373656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913 (or 7902 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 55.

The spelling of 85642373656 in words is "eighty-five billion, six hundred forty-two million, three hundred seventy-three thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 226 257 392 452 514 791 904 1028 1582 1799 2056 3164 3598 5537 6328 7196 7523 11074 12593 14392 15046 22148 25186 29041 30092 44296 50372 52661 58082 60184 100744 105322 116164 203287 210644 232328 368627 406574 421288 737254 813148 850099 1423009 1474508 1626296 1700198 1933411 2846018 2949016 3400396 3866822 5692036 5950693 6800792 7733644 11384072 11901386 13533877 15467288 23802772 27067754 41654851 47605544 54135508 83309702 94737139 108271016 166619404 189474278 218475443 333238808 378948556 436950886 757897112 873901772 1529328101 1747803544 3058656202 6117312404 10705296707 12234624808 21410593414 42821186828 85642373656