Search a number
-
+
1919289445290 = 2335741181136841
BaseRepresentation
bin11011111011011110100…
…100001100101110101010
320210111000120200212011000
4123323132210030232222
5222421201044222130
64025413121415430
7255443532052260
oct33733644145652
96714016625130
101919289445290
1167aa69946508
1226bb7a19a576
1310bcb0165ca9
1468c735d0430
1534dd2454260
hex1bede90cbaa

1919289445290 has 256 divisors, whose sum is σ = 6025076628480. Its totient is φ = 425627136000.

The previous prime is 1919289445243. The next prime is 1919289445303. The reversal of 1919289445290 is 925449829191.

1919289445290 is a `hidden beast` number, since 1 + 9 + 1 + 9 + 2 + 8 + 94 + 452 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13957270 + ... + 14094110.

It is an arithmetic number, because the mean of its divisors is an integer number (23535455580).

Almost surely, 21919289445290 is an apocalyptic number.

1919289445290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1919289445290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012538314240).

1919289445290 is an abundant number, since it is smaller than the sum of its proper divisors (4105787183190).

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

1919289445290 is a wasteful number, since it uses less digits than its factorization.

1919289445290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137086 (or 137080 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 1919289445290 in words is "one trillion, nine hundred nineteen billion, two hundred eighty-nine million, four hundred forty-five thousand, two hundred ninety".