Search a number
-
+
21315055013352 = 2333221344591419
BaseRepresentation
bin1001101100010110011000…
…10010000100110111101000
32210110200212211110212201000
410312023030102010313220
510243211213040411402
6113200000122555000
74326650635140432
oct466131422046750
983420784425630
1021315055013352
116878733966621
122483000968a60
13bb80024494a9
1453992306b652
1526e6c083ac1c
hex1362cc484de8

21315055013352 has 64 divisors (see below), whose sum is σ = 59235242328000. Its totient is φ = 7101807596352.

The previous prime is 21315055013339. The next prime is 21315055013353. The reversal of 21315055013352 is 25331055051312.

21315055013352 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 50 + 550 + 1 + 3 + 3 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21315055013353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21817702 + ... + 22773717.

It is an arithmetic number, because the mean of its divisors is an integer number (925550661375).

Almost surely, 221315055013352 is an apocalyptic number.

It is an amenable number.

21315055013352 is an abundant number, since it is smaller than the sum of its proper divisors (37920187314648).

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

21315055013352 is a wasteful number, since it uses less digits than its factorization.

21315055013352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44593647 (or 44593637 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 21315055013352 in words is "twenty-one trillion, three hundred fifteen billion, fifty-five million, thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2213 4426 6639 8852 13278 17704 19917 26556 39834 53112 59751 79668 119502 159336 239004 478008 44591419 89182838 133774257 178365676 267548514 356731352 401322771 535097028 802645542 1070194056 1203968313 1605291084 2407936626 3210582168 4815873252 9631746504 98680810247 197361620494 296042430741 394723240988 592084861482 789446481976 888127292223 1184169722964 1776254584446 2368339445928 2664381876669 3552509168892 5328763753338 7105018337784 10657527506676 21315055013352