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99459704512 = 267343105367
BaseRepresentation
bin101110010100001000…
…0101010011011000000
3100111201111222111011201
41130220100222123000
53112143141021022
6113405142350544
710120463353000
oct1345020523300
9314644874151
1099459704512
11391a9457103
1217338a2b454
1394c08b947c
144b573ba000
1528c1ab2127
hex172842a6c0

99459704512 has 112 divisors (see below), whose sum is σ = 235518553600. Its totient is φ = 41633899776.

The previous prime is 99459704483. The next prime is 99459704581. The reversal of 99459704512 is 21540795499.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×994597045122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891253 + ... + 996619.

Almost surely, 299459704512 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 99459704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117759276800).

99459704512 is an abundant number, since it is smaller than the sum of its proper divisors (136058849088).

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

99459704512 is a wasteful number, since it uses less digits than its factorization.

99459704512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105443 (or 105419 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 99459704512 in words is "ninety-nine billion, four hundred fifty-nine million, seven hundred four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 172 196 224 301 343 344 392 448 602 686 688 784 1204 1372 1376 1568 2107 2408 2744 2752 3136 4214 4816 5488 8428 9632 10976 14749 16856 19264 21952 29498 33712 58996 67424 105367 117992 134848 210734 235984 421468 471968 737569 842936 943936 1475138 1685872 2950276 3371744 4530781 5162983 5900552 6743488 9061562 10325966 11801104 18123124 20651932 23602208 31715467 36140881 36246248 41303864 47204416 63430934 72281762 72492496 82607728 126861868 144563524 144984992 165215456 222008269 253723736 289127048 289969984 330430912 444016538 507447472 578254096 888033076 1014894944 1156508192 1554057883 1776066152 2029789888 2313016384 3108115766 3552132304 6216231532 7104264608 12432463064 14208529216 24864926128 49729852256 99459704512