Search a number
-
+
2836280002320 = 2432523191896717
BaseRepresentation
bin101001010001011111011…
…101100100011100010000
3101001010221020012122222100
4221101133131210130100
5332432200140033240
610010545151440400
7411625443144432
oct51213735443420
911033836178870
102836280002320
119a3950135276
12399834526100
131775c998a32b
149b3c3318652
154dba13dee30
hex2945f764710

2836280002320 has 240 divisors, whose sum is σ = 9991361083392. Its totient is φ = 719668392960.

The previous prime is 2836280002313. The next prime is 2836280002349. The reversal of 2836280002320 is 232000826382.

2836280002320 is a `hidden beast` number, since 2 + 8 + 3 + 628 + 0 + 0 + 0 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 2714602 + ... + 3611318.

Almost surely, 22836280002320 is an apocalyptic number.

2836280002320 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 2836280002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995680541696).

2836280002320 is an abundant number, since it is smaller than the sum of its proper divisors (7155081081072).

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

2836280002320 is a wasteful number, since it uses less digits than its factorization.

2836280002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896950 (or 896941 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2836280002320 in words is "two trillion, eight hundred thirty-six billion, two hundred eighty million, two thousand, three hundred twenty".