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9921324706900 = 2252175836073357
BaseRepresentation
bin1001000001011111110100…
…0010001110110001010100
31022010110200011210021001221
42100113331002032301110
52300022333111110100
633033443232300124
72042535450365035
oct220277502166124
938113604707057
109921324706900
11318567916a932
12114299b6a1644
1356c7665cc359
142642a22a6a8c
15123122de501a
hex905fd08ec54

9921324706900 has 36 divisors (see below), whose sum is σ = 22795702536348. Its totient is φ = 3735086947840.

The previous prime is 9921324706877. The next prime is 9921324706901. The reversal of 9921324706900 is 96074231299.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 440664958276 + 9480659748624 = 663826^2 + 3079068^2 .

It is a super-2 number, since 2×99213247069002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9921324706901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2918034979 + ... + 2918038378.

It is an arithmetic number, because the mean of its divisors is an integer number (633213959343).

Almost surely, 29921324706900 is an apocalyptic number.

It is an amenable number.

9921324706900 is an abundant number, since it is smaller than the sum of its proper divisors (12874377829448).

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

9921324706900 is a wasteful number, since it uses less digits than its factorization.

9921324706900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836073388 (or 5836073381 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 9921324706900 in words is "nine trillion, nine hundred twenty-one billion, three hundred twenty-four million, seven hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 5836073357 11672146714 23344293428 29180366785 58360733570 99213247069 116721467140 145901833925 198426494138 291803667850 396852988276 496066235345 583607335700 992132470690 1984264941380 2480331176725 4960662353450 9921324706900