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99421657344 = 283265692
BaseRepresentation
bin101110010010111111…
…1100001100100000000
3100111121212101111021100
41130211333201210000
53112103421013334
6113401303054400
710116522100212
oct1344577414400
9314555344240
1099421657344
1139189a2a769
1217328141400
1394b5a57759
144b523145b2
1528bd598c99
hex1725fe1900

99421657344 has 81 divisors (see below), whose sum is σ = 286700792833. Its totient is φ = 33135507456.

The previous prime is 99421657339. The next prime is 99421657399. The reversal of 99421657344 is 44375612499.

The square root of 99421657344 is 315312.

It is a perfect power (a square), and thus also a powerful number.

99421657344 is a `hidden beast` number, since 9 + 9 + 4 + 21 + 6 + 573 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89453631744 + 9968025600 = 299088^2 + 99840^2 .

It is a super-3 number, since 3×994216573443 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15131692 + ... + 15138260.

Almost surely, 299421657344 is an apocalyptic number.

99421657344 is the 315312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99421657344

99421657344 is an abundant number, since it is smaller than the sum of its proper divisors (187279135489).

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

99421657344 is an frugal number, since it uses more digits than its factorization.

99421657344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13160 (or 6574 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 99421657344 in words is "ninety-nine billion, four hundred twenty-one million, six hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 6569 13138 19707 26276 39414 52552 59121 78828 105104 118242 157656 210208 236484 315312 420416 472968 630624 840832 945936 1261248 1681664 1891872 2522496 3783744 5044992 7567488 15134976 43151761 86303522 129455283 172607044 258910566 345214088 388365849 517821132 690428176 776731698 1035642264 1380856352 1553463396 2071284528 2761712704 3106926792 4142569056 5523425408 6213853584 8285138112 11046850816 12427707168 16570276224 24855414336 33140552448 49710828672 99421657344