Search a number
-
+
21358550610072 = 23321343659805271
BaseRepresentation
bin1001101101100111011001…
…10100100111000010011000
32210121212011010010010102200
410312303230310213002120
510244414302424010242
6113231552132330200
74333050536461344
oct466635464470230
983555133103380
1021358550610072
116895124004175
12248b51b473960
13bbc144786080
1453ba8b9ac624
152708b916004c
hex136cecd27098

21358550610072 has 192 divisors, whose sum is σ = 63841319942400. Its totient is φ = 6409279215360.

The previous prime is 21358550610043. The next prime is 21358550610161. The reversal of 21358550610072 is 27001605585312.

21358550610072 is a `hidden beast` number, since 2 + 1 + 3 + 585 + 5 + 0 + 61 + 0 + 0 + 7 + 2 = 666.

It is a congruent number.

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, 26120797 + ... + 26926067.

It is an arithmetic number, because the mean of its divisors is an integer number (332506874700).

Almost surely, 221358550610072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21358550610072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31920659971200).

21358550610072 is an abundant number, since it is smaller than the sum of its proper divisors (42482769332328).

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

21358550610072 is a wasteful number, since it uses less digits than its factorization.

21358550610072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805998 (or 805991 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 21358550610072 in words is "twenty-one trillion, three hundred fifty-eight billion, five hundred fifty million, six hundred ten thousand, seventy-two".