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21900109392 = 2432723103757
BaseRepresentation
bin10100011001010110…
…010010011001010000
32002112020220211022200
4110121112102121100
5324322412000032
614021043203200
71403463600300
oct243126223120
962466824280
1021900109392
11931904a367
1242b2376500
1320b0249215
1410ba7bb600
1588299b47c
hex519592650

21900109392 has 90 divisors (see below), whose sum is σ = 71296425018. Its totient is φ = 6257172096.

The previous prime is 21900109313. The next prime is 21900109397. The reversal of 21900109392 is 29390100912.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20367856656 + 1532252736 = 142716^2 + 39144^2 .

It is a super-2 number, since 2×219001093922 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21900109397) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1544823 + ... + 1558934.

Almost surely, 221900109392 is an apocalyptic number.

It is an amenable number.

21900109392 is an abundant number, since it is smaller than the sum of its proper divisors (49396315626).

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

21900109392 is a wasteful number, since it uses less digits than its factorization.

21900109392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103785 (or 3103769 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 21900109392 in words is "twenty-one billion, nine hundred million, one hundred nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 3103757 6207514 9311271 12415028 18622542 21726299 24830056 27933813 37245084 43452598 49660112 55867626 65178897 74490168 86905196 111735252 130357794 148980336 152084093 173810392 195536691 223470504 260715588 304168186 347620784 391073382 446941008 456252279 521431176 608336372 782146764 912504558 1042862352 1216672744 1368756837 1564293528 1825009116 2433345488 2737513674 3128587056 3650018232 5475027348 7300036464 10950054696 21900109392