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99325058814 = 237239671021
BaseRepresentation
bin101110010000000111…
…1000001111011111110
3100111101010121210000000
41130200033001323332
53111404203340224
6113343532415130
710114240032642
oct1344017017376
9314333553000
1099325058814
113913a451873
12172bb9174a6
13949ba35267
144b4356ac22
1528b4d670c9
hex17203c1efe

99325058814 has 128 divisors (see below), whose sum is σ = 233632143360. Its totient is φ = 31605124320.

The previous prime is 99325058801. The next prime is 99325058821. The reversal of 99325058814 is 41885052399.

99325058814 is a `hidden beast` number, since 9 + 9 + 3 + 2 + 50 + 588 + 1 + 4 = 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 Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97281624 + ... + 97282644.

It is an arithmetic number, because the mean of its divisors is an integer number (1825251120).

Almost surely, 299325058814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99325058814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116816071680).

99325058814 is an abundant number, since it is smaller than the sum of its proper divisors (134307084546).

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

99325058814 is a wasteful number, since it uses less digits than its factorization.

99325058814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 99325058814 in words is "ninety-nine billion, three hundred twenty-five million, fifty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 729 967 1021 1242 1458 1863 1934 2042 2187 2901 3063 3726 4374 5589 5802 6126 8703 9189 11178 16767 17406 18378 22241 23483 26109 27567 33534 44482 46966 50301 52218 55134 66723 70449 78327 82701 100602 133446 140898 156654 165402 200169 211347 234981 248103 400338 422694 469962 496206 600507 634041 704943 744309 987307 1201014 1268082 1409886 1488618 1801521 1902123 1974614 2114829 2232927 2961921 3603042 3804246 4229658 4465854 5404563 5706369 5923842 8885763 10809126 11412738 16213689 17119107 17771526 22708061 26657289 32427378 34238214 45416122 48641067 51357321 53314578 68124183 79971867 97282134 102714642 136248366 159943734 204372549 239915601 408745098 479831202 613117647 719746803 1226235294 1439493606 1839352941 2159240409 3678705882 4318480818 5518058823 11036117646 16554176469 33108352938 49662529407 99325058814