Search a number
-
+
83214325311336 = 2333385251506071
BaseRepresentation
bin10010111010111011011000…
…010011001110011101101000
3101220122012201102000012102000
4102322323120103032131220
541401340414234430321
6452552044443211000
723346015361346502
oct2272733023163550
9356565642005360
1083214325311336
1124572aa727749a
1293bb5b1216a60
133758100810a6b
141679848326d72
159948e0093826
hex4baed84ce768

83214325311336 has 32 divisors (see below), whose sum is σ = 231150903643200. Its totient is φ = 27738108437040.

The previous prime is 83214325311323. The next prime is 83214325311353. The reversal of 83214325311336 is 63311352341238.

83214325311336 is a `hidden beast` number, since 8 + 3 + 2 + 1 + 4 + 325 + 311 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83214325311291 and 83214325311300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192625752820 + ... + 192625753251.

It is an arithmetic number, because the mean of its divisors is an integer number (7223465738850).

Almost surely, 283214325311336 is an apocalyptic number.

It is an amenable number.

83214325311336 is an abundant number, since it is smaller than the sum of its proper divisors (147936578331864).

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

83214325311336 is a wasteful number, since it uses less digits than its factorization.

83214325311336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385251506086 (or 385251506076 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 83214325311336 in words is "eighty-three trillion, two hundred fourteen billion, three hundred twenty-five million, three hundred eleven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 385251506071 770503012142 1155754518213 1541006024284 2311509036426 3082012048568 3467263554639 4623018072852 6934527109278 9246036145704 10401790663917 13869054218556 20803581327834 27738108437112 41607162655668 83214325311336