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99106615296 = 2123213206803
BaseRepresentation
bin101110001001100110…
…1101111000000000000
3100110210220120200211100
41130103031233000000
53110432243142141
6113310130414400
710105645221243
oct1342315570000
9313726520740
1099106615296
1139038111a37
121725a731400
1394656c1140
144b2254725a
1528a0ab80b6
hex171336f000

99106615296 has 156 divisors (see below), whose sum is σ = 308295544648. Its totient is φ = 30494195712.

The previous prime is 99106615229. The next prime is 99106615337. The reversal of 99106615296 is 69251660199.

99106615296 is a `hidden beast` number, since 9 + 9 + 10 + 6 + 615 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (156).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375831 + ... + 582633.

Almost surely, 299106615296 is an apocalyptic number.

99106615296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99106615296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154147772324).

99106615296 is an abundant number, since it is smaller than the sum of its proper divisors (209188929352).

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

99106615296 is a wasteful number, since it uses less digits than its factorization.

99106615296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206846 (or 206821 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 99106615296 in words is "ninety-nine billion, one hundred six million, six hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4096 4608 4992 6144 6656 7488 9216 9984 12288 13312 14976 18432 19968 26624 29952 36864 39936 53248 59904 79872 119808 159744 206803 239616 413606 479232 620409 827212 1240818 1654424 1861227 2481636 2688439 3308848 3722454 4963272 5376878 6617696 7444908 8065317 9926544 10753756 13235392 14889816 16130634 19853088 21507512 24195951 26470784 29779632 32261268 39706176 43015024 48391902 52941568 59559264 64522536 79412352 86030048 96783804 105883136 119118528 129045072 158824704 172060096 193567608 211766272 238237056 258090144 317649408 344120192 387135216 423532544 476474112 516180288 635298816 688240384 774270432 847065088 952948224 1032360576 1270597632 1376480768 1548540864 1905896448 2064721152 2541195264 2752961536 3097081728 3811792896 4129442304 5505923072 6194163456 7623585792 8258884608 11011846144 12388326912 16517769216 24776653824 33035538432 49553307648 99106615296