Search a number
-
+
92742921216 = 2103511311093
BaseRepresentation
bin101011001011111101…
…0001010110000000000
322212101102011112200000
41112113322022300000
53004414141434331
6110334442400000
76462153552261
oct1262772126000
9285342145600
1092742921216
1136371a63430
1215b83500000
13899018609a
1446bb304968
15262c08e0e6
hex1597e8ac00

92742921216 has 528 divisors, whose sum is σ = 313016890368. Its totient is φ = 27172454400.

The previous prime is 92742921191. The next prime is 92742921329. The reversal of 92742921216 is 61212924729.

92742921216 is a `hidden beast` number, since 9 + 2 + 7 + 429 + 2 + 1 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84851166 + ... + 84852258.

Almost surely, 292742921216 is an apocalyptic number.

92742921216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92742921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156508445184).

92742921216 is an abundant number, since it is smaller than the sum of its proper divisors (220273969152).

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

92742921216 is a wasteful number, since it uses less digits than its factorization.

92742921216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1140 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 92742921216 in words is "ninety-two billion, seven hundred forty-two million, nine hundred twenty-one thousand, two hundred sixteen".