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99424952400 = 24352103804409
BaseRepresentation
bin101110010011000110…
…0000110000001010000
3100111122002120220020110
41130212030012001100
53112110241434100
6113401501441320
710116562102614
oct1344614060120
9314562526213
1099424952400
1139190880354
1217329270240
1394b663c4a7
144b52931344
1528bd9ea250
hex1726306050

99424952400 has 120 divisors (see below), whose sum is σ = 321583812160. Its totient is φ = 26255877120.

The previous prime is 99424952381. The next prime is 99424952401. The reversal of 99424952400 is 425942499.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99424952400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99424952401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278605 + ... + 525804.

Almost surely, 299424952400 is an apocalyptic number.

It is an amenable number.

99424952400 is an abundant number, since it is smaller than the sum of its proper divisors (222158859760).

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

99424952400 is a wasteful number, since it uses less digits than its factorization.

99424952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804533 (or 804522 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 99424952400 in words is "ninety-nine billion, four hundred twenty-four million, nine hundred fifty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 103 120 150 200 206 240 300 309 400 412 515 600 618 824 1030 1200 1236 1545 1648 2060 2472 2575 3090 4120 4944 5150 6180 7725 8240 10300 12360 15450 20600 24720 30900 41200 61800 123600 804409 1608818 2413227 3217636 4022045 4826454 6435272 8044090 9652908 12066135 12870544 16088180 19305816 20110225 24132270 32176360 38611632 40220450 48264540 60330675 64352720 80440900 82854127 96529080 120661350 160881800 165708254 193058160 241322700 248562381 321763600 331416508 414270635 482645400 497124762 662833016 828541270 965290800 994249524 1242811905 1325666032 1657082540 1988499048 2071353175 2485623810 3314165080 3976998096 4142706350 4971247620 6214059525 6628330160 8285412700 9942495240 12428119050 16570825400 19884990480 24856238100 33141650800 49712476200 99424952400