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99290988576 = 253213191395791
BaseRepresentation
bin101110001111000110…
…1000100000000100000
3100111021202111211102100
41130132031010000200
53111321443113301
6113340314250400
710113344322543
oct1343615040040
9314252454370
1099290988576
11391221a134a
12172b0426a00
139494966760
144b3cc1c85a
1528b1d87286
hex171e344020

99290988576 has 144 divisors (see below), whose sum is σ = 320083021440. Its totient is φ = 28943101440.

The previous prime is 99290988571. The next prime is 99290988581. The reversal of 99290988576 is 67588909299.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99290988571) and next prime (99290988581).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (99290988571) 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, 626760 + ... + 769031.

It is an arithmetic number, because the mean of its divisors is an integer number (2222798760).

Almost surely, 299290988576 is an apocalyptic number.

99290988576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

99290988576 is an abundant number, since it is smaller than the sum of its proper divisors (220792032864).

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

99290988576 is a wasteful number, since it uses less digits than its factorization.

99290988576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395839 (or 1395828 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 99290988576 in words is "ninety-nine billion, two hundred ninety million, nine hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1824 1872 1976 2223 2736 2964 3744 3952 4446 5472 5928 7904 8892 11856 17784 23712 35568 71136 1395791 2791582 4187373 5583164 8374746 11166328 12562119 16749492 18145283 22332656 25124238 26520029 33498984 36290566 44665312 50248476 53040058 54435849 66997968 72581132 79560087 100496952 106080116 108871698 133995936 145162264 159120174 163307547 200993904 212160232 217743396 238680261 290324528 318240348 326615094 344760377 401987808 424320464 435486792 477360522 580649056 636480696 653230188 689520754 848640928 870973584 954721044 1034281131 1272961392 1306460376 1379041508 1741947168 1909442088 2068562262 2545922784 2612920752 2758083016 3102843393 3818884176 4137124524 5225841504 5516166032 6205686786 7637768352 8274249048 11032332064 12411373572 16548498096 24822747144 33096996192 49645494288 99290988576