Search a number
-
+
21303016673328 = 243213131415720897
BaseRepresentation
bin1001101011111111111101…
…01111011101000000110000
32210102112210212012211201200
410311333332233131000300
510243012034232021303
6113150245403331200
74326043420011255
oct465777657350060
983375725184650
1021303016673328
1168736165a8585
122480801220b00
13bb6b3437c880
1453910030d42c
1526e218a453a3
hex135ffebdd030

21303016673328 has 240 divisors, whose sum is σ = 64713698745696. Its totient is φ = 6502861946880.

The previous prime is 21303016673317. The next prime is 21303016673339. The reversal of 21303016673328 is 82337661030312.

21303016673328 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 301 + 6 + 6 + 7 + 332 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (21303016673317) and next prime (21303016673339).

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, 1019418976 + ... + 1019439872.

Almost surely, 221303016673328 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 21303016673328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32356849372848).

21303016673328 is an abundant number, since it is smaller than the sum of its proper divisors (43410682072368).

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

21303016673328 is a wasteful number, since it uses less digits than its factorization.

21303016673328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25212 (or 25203 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 21303016673328 in words is "twenty-one trillion, three hundred three billion, sixteen million, six hundred seventy-three thousand, three hundred twenty-eight".