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99243348764 = 22747179601701
BaseRepresentation
bin101110001101101011…
…1010101001100011100
3100111011102212110212212
41130123113111030130
53111222244130024
6113331453215552
710112225355140
oct1343327251434
9314142773785
1099243348764
11390a83128aa
12172984915b8
139487b26711
144b3677b220
1528acac6a0e
hex171b5d531c

99243348764 has 96 divisors (see below), whose sum is σ = 204472719360. Its totient is φ = 41267520000.

The previous prime is 99243348739. The next prime is 99243348781. The reversal of 99243348764 is 46784334299.

99243348764 = T1 + T2 + ... + T8412.

99243348764 is a nontrivial binomial coefficient, being equal to C(8414, 3).

It is a congruent number.

It is an unprimeable number.

It is the 8412-nd tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141573614 + ... + 141574314.

It is an arithmetic number, because the mean of its divisors is an integer number (2129924160).

Almost surely, 299243348764 is an apocalyptic number.

99243348764 is a gapful number since it is divisible by the number (94) 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 99243348764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102236359680).

99243348764 is an abundant number, since it is smaller than the sum of its proper divisors (105229370596).

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

99243348764 is a wasteful number, since it uses less digits than its factorization.

99243348764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1537 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 59.

The spelling of 99243348764 in words is "ninety-nine billion, two hundred forty-three million, three hundred forty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 47 94 179 188 329 358 601 658 701 716 1202 1253 1316 1402 2404 2506 2804 4207 4907 5012 8413 8414 9814 16826 16828 19628 28247 32947 33652 56494 58891 65894 107579 112988 117782 125479 131788 197729 215158 230629 235564 250958 395458 421301 430316 461258 501916 753053 790916 842602 878353 922516 1506106 1685204 1756706 2949107 3012212 3513412 5056213 5897513 5898214 10112426 11795026 11796428 19801147 20224852 23590052 35393491 39602294 41282591 70786982 75412879 79204588 82565182 138608029 141573964 150825758 165130364 277216058 301651516 527890153 554432116 1055780306 2111560612 3544405313 7088810626 14177621252 24810837191 49621674382 99243348764