Search a number
-
+
92041691040 = 253351317253107
BaseRepresentation
bin101010110111000011…
…1001011111110100000
322210120112200100201000
41111232013023332200
53002000133103130
6110141112512000
76435610315365
oct1255607137640
9283515610630
1092041691040
1136042153862
1215a086ab600
1388aab05aa0
14465212a46c
1525da727260
hex156e1cbfa0

92041691040 has 1152 divisors, whose sum is σ = 378996952320. Its totient is φ = 20725825536.

The previous prime is 92041691039. The next prime is 92041691069. The reversal of 92041691040 is 4019614029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 92041690986 and 92041691004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 860202667 + ... + 860202773.

It is an arithmetic number, because the mean of its divisors is an integer number (328990410).

Almost surely, 292041691040 is an apocalyptic number.

92041691040 is a gapful number since it is divisible by the number (90) 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 92041691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189498476160).

92041691040 is an abundant number, since it is smaller than the sum of its proper divisors (286955261280).

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

92041691040 is a wasteful number, since it uses less digits than its factorization.

92041691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 92041691040 in words is "ninety-two billion, forty-one million, six hundred ninety-one thousand, forty".