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100088445468 = 223116197128147
BaseRepresentation
bin101110100110110111…
…1000111101000011100
3100120100100001211121210
41131031233013220130
53114440120223333
6113551402424420
710142166515004
oct1351557075034
9316310054553
10100088445468
11394a1355530
1217493502110
139590c38c3b
144bb6ac5004
15290bdaaa63
hex174dbc7a1c

100088445468 has 96 divisors (see below), whose sum is σ = 261618755328. Its totient is φ = 29524838400.

The previous prime is 100088445467. The next prime is 100088445469. The reversal of 100088445468 is 864544880001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100088445467) and next prime (100088445469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100088445463) 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, 716971 + ... + 845117.

It is an arithmetic number, because the mean of its divisors is an integer number (2725195368).

Almost surely, 2100088445468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100088445468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130809377664).

100088445468 is an abundant number, since it is smaller than the sum of its proper divisors (161530309860).

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

100088445468 is a wasteful number, since it uses less digits than its factorization.

100088445468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128323 (or 128321 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 100088445468 in words is "one hundred billion, eighty-eight million, four hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 97 122 132 183 194 244 291 366 388 582 671 732 1067 1164 1342 2013 2134 2684 3201 4026 4268 5917 6402 8052 11834 12804 17751 23668 35502 65087 71004 128147 130174 195261 256294 260348 384441 390522 512588 768882 781044 1409617 1537764 2819234 4228851 5638468 7816967 8457702 12430259 15633934 16915404 23450901 24860518 31267868 37290777 46901802 49721036 74581554 85986637 93803604 136732849 149163108 171973274 257959911 273465698 343946548 410198547 515919822 546931396 758245799 820397094 1031839644 1516491598 1640794188 2274737397 3032983196 4549474794 8340703789 9098949588 16681407578 25022111367 33362815156 50044222734 100088445468