Search a number
-
+
21378675360 = 2535719541619
BaseRepresentation
bin10011111010010001…
…001011001010100000
32001011220202020022010
4103322101023022200
5322240420102420
613453215112520
71354532512410
oct237221131240
961156666263
1021378675360
119080783249
124187812740
1320291cb083
14106b446640
15851cec4e0
hex4fa44b2a0

21378675360 has 384 divisors, whose sum is σ = 81294796800. Its totient is φ = 4613345280.

The previous prime is 21378675347. The next prime is 21378675377. The reversal of 21378675360 is 6357687312.

It is a super-2 number, since 2×213786753602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34537131 + ... + 34537749.

It is an arithmetic number, because the mean of its divisors is an integer number (211705200).

Almost surely, 221378675360 is an apocalyptic number.

21378675360 is a gapful number since it is divisible by the number (20) 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 21378675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40647398400).

21378675360 is an abundant number, since it is smaller than the sum of its proper divisors (59916121440).

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

21378675360 is a wasteful number, since it uses less digits than its factorization.

21378675360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 21378675360 in words is "twenty-one billion, three hundred seventy-eight million, six hundred seventy-five thousand, three hundred sixty".