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99891415152 = 243212717331573
BaseRepresentation
bin101110100000111111…
…1100000100001110000
3100112211121022122211200
41131001333200201300
53114034200241102
6113520043411200
710134255006414
oct1350177404160
9315747278750
1099891415152
1139400110761
1217439523b00
13955c181559
144b98876d44
1528e993b51c
hex1741fe0870

99891415152 has 120 divisors (see below), whose sum is σ = 283396099584. Its totient is φ = 32842962432.

The previous prime is 99891415133. The next prime is 99891415187. The reversal of 99891415152 is 25151419899.

99891415152 is a `hidden beast` number, since 9 + 9 + 89 + 1 + 41 + 515 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 3148038 + ... + 3179610.

Almost surely, 299891415152 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 99891415152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141698049792).

99891415152 is an abundant number, since it is smaller than the sum of its proper divisors (183504684432).

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

99891415152 is a wasteful number, since it uses less digits than its factorization.

99891415152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31887 (or 31878 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 54.

The spelling of 99891415152 in words is "ninety-nine billion, eight hundred ninety-one million, four hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 173 254 346 381 508 519 692 762 1016 1038 1143 1384 1524 1557 2032 2076 2286 2768 3048 3114 4152 4572 6096 6228 8304 9144 12456 18288 21971 24912 31573 43942 63146 65913 87884 94719 126292 131826 175768 189438 197739 252584 263652 284157 351536 378876 395478 505168 527304 568314 757752 790956 1054608 1136628 1515504 1581912 2273256 3163824 4009771 4546512 5462129 8019542 10924258 12029313 16039084 16386387 21848516 24058626 32078168 32772774 36087939 43697032 48117252 49159161 64156336 65545548 72175878 87394064 96234504 98318322 131091096 144351756 192469008 196636644 262182192 288703512 393273288 577407024 693690383 786546576 1387380766 2081071149 2774761532 4162142298 5549523064 6243213447 8324284596 11099046128 12486426894 16648569192 24972853788 33297138384 49945707576 99891415152