Search a number
-
+
21603125916 = 223237130712409
BaseRepresentation
bin10100000111101001…
…011000101010011100
32001202120002111120200
4110013221120222130
5323220400012131
613531353543500
71363226353251
oct240751305234
961676074520
1021603125916
119186446279
12422aa14b90
132063866458
14108d191428
158668862e6
hex507a58a9c

21603125916 has 72 divisors (see below), whose sum is σ = 56131224240. Its totient is φ = 7000494336.

The previous prime is 21603125881. The next prime is 21603125923. The reversal of 21603125916 is 61952130612.

21603125916 is a `hidden beast` number, since 2 + 1 + 60 + 3 + 1 + 2 + 591 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1734720 + ... + 1747128.

Almost surely, 221603125916 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 21603125916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28065612120).

21603125916 is an abundant number, since it is smaller than the sum of its proper divisors (34528098324).

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

21603125916 is a wasteful number, since it uses less digits than its factorization.

21603125916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13763 (or 13758 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 21603125916 in words is "twenty-one billion, six hundred three million, one hundred twenty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1307 1332 2614 3921 5228 7842 11763 12409 15684 23526 24818 37227 47052 48359 49636 74454 96718 111681 145077 148908 193436 223362 290154 435231 446724 459133 580308 870462 918266 1377399 1740924 1836532 2754798 4132197 5509596 8264394 16218563 16528788 32437126 48655689 64874252 97311378 145967067 194622756 291934134 583868268 600086831 1200173662 1800260493 2400347324 3600520986 5400781479 7201041972 10801562958 21603125916