Search a number
-
+
21156344352 = 253211131921423
BaseRepresentation
bin10011101101000001…
…000011001000100000
32000121102101122111100
4103231001003020200
5321312011004402
613415153514400
71346162650143
oct235501031040
960542348440
1021156344352
118a77228710
124125272a00
131cc2125670
141049ad005a
1583c53171c
hex4ed043220

21156344352 has 432 divisors, whose sum is σ = 74649714048. Its totient is φ = 5602452480.

The previous prime is 21156344347. The next prime is 21156344369. The reversal of 21156344352 is 25344365112.

21156344352 is a `hidden beast` number, since 2 + 1 + 1 + 563 + 4 + 43 + 52 = 666.

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 71 ways as a sum of consecutive naturals, for example, 14866713 + ... + 14868135.

It is an arithmetic number, because the mean of its divisors is an integer number (172800264).

Almost surely, 221156344352 is an apocalyptic number.

21156344352 is a gapful number since it is divisible by the number (22) 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 21156344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324857024).

21156344352 is an abundant number, since it is smaller than the sum of its proper divisors (53493369696).

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

21156344352 is a wasteful number, since it uses less digits than its factorization.

21156344352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1471 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 21156344352 in words is "twenty-one billion, one hundred fifty-six million, three hundred forty-four thousand, three hundred fifty-two".