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99082190064 = 243111315791943
BaseRepresentation
bin101110001000111000…
…0100011110011110000
3100110202012121202201010
41130101300203303300
53110410020040224
6113303455110520
710105230501534
oct1342160436360
9313665552633
1099082190064
11390253499a0
1217252512440
13946061b740
144b1d1c9bc4
15289d890e29
hex1711c23cf0

99082190064 has 160 divisors (see below), whose sum is σ = 302629630464. Its totient is φ = 27538467840.

The previous prime is 99082189991. The next prime is 99082190149. The reversal of 99082190064 is 46009128099.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 99082189995 and 99082190022.

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 31 ways as a sum of consecutive naturals, for example, 1031677 + ... + 1123619.

Almost surely, 299082190064 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 99082190064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151314815232).

99082190064 is an abundant number, since it is smaller than the sum of its proper divisors (203547440400).

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

99082190064 is a wasteful number, since it uses less digits than its factorization.

99082190064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92135 (or 92129 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 99082190064 in words is "ninety-nine billion, eighty-two million, one hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 157 176 208 264 286 312 314 429 471 528 572 624 628 858 942 1144 1256 1716 1727 1884 2041 2288 2512 3432 3454 3768 4082 5181 6123 6864 6908 7536 8164 10362 12246 13816 16328 20724 22451 24492 27632 32656 41448 44902 48984 67353 82896 89804 91943 97968 134706 179608 183886 269412 275829 359216 367772 538824 551658 735544 1011373 1077648 1103316 1195259 1471088 2022746 2206632 2390518 3034119 3585777 4045492 4413264 4781036 6068238 7171554 8090984 9562072 12136476 13147849 14343108 14435051 16181968 19124144 24272952 26295698 28686216 28870102 39443547 43305153 48545904 52591396 57372432 57740204 78887094 86610306 105182792 115480408 157774188 158785561 173220612 187655663 210365584 230960816 315548376 317571122 346441224 375311326 476356683 562966989 631096752 635142244 692882448 750622652 952713366 1125933978 1270284488 1501245304 1905426732 2064212293 2251867956 2540568976 3002490608 3810853464 4128424586 4503735912 6192636879 7621706928 8256849172 9007471824 12385273758 16513698344 24770547516 33027396688 49541095032 99082190064