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99821104552 = 231323597011009
BaseRepresentation
bin101110011110111001…
…1010010110110101000
3100112122201000111211101
41130331303102312220
53113413200321202
6113505052411144
710132442250301
oct1347563226650
9315581014741
1099821104552
1139374458324
1217419a76ab4
13954a734550
144b8d3b37a8
1528e369d887
hex173dcd2da8

99821104552 has 128 divisors (see below), whose sum is σ = 214407648000. Its totient is φ = 43216588800.

The previous prime is 99821104531. The next prime is 99821104553. The reversal of 99821104552 is 25540112899.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (99821104553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98930224 + ... + 98931232.

It is an arithmetic number, because the mean of its divisors is an integer number (1675059750).

Almost surely, 299821104552 is an apocalyptic number.

99821104552 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

99821104552 is the 257968-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99821104552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107203824000).

99821104552 is an abundant number, since it is smaller than the sum of its proper divisors (114586543448).

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

99821104552 is a wasteful number, since it uses less digits than its factorization.

99821104552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 99821104552 in words is "ninety-nine billion, eight hundred twenty-one million, one hundred four thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 23 26 46 52 59 92 104 118 184 236 299 472 598 701 767 1009 1196 1357 1402 1534 2018 2392 2714 2804 3068 4036 5428 5608 6136 8072 9113 10856 13117 16123 17641 18226 23207 26234 32246 35282 36452 41359 46414 52468 59531 64492 70564 72904 82718 92828 104936 119062 128984 141128 165436 185656 209599 238124 301691 330872 419198 476248 537667 603382 707309 773903 838396 951257 1075334 1206764 1369213 1414618 1547806 1676792 1902514 2150668 2413528 2738426 2829236 3095612 3805028 4301336 5476852 5658472 6191224 7610056 9195017 10953704 12366341 16268107 17799769 18390034 24732682 32536214 35599538 36780068 41731231 49465364 65072428 71199076 73560136 83462462 98930728 130144856 142398152 166924924 211485391 333849848 422970782 542506003 845941564 959818313 1085012006 1691883128 1919636626 2170024012 3839273252 4340048024 7678546504 12477638069 24955276138 49910552276 99821104552