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99366416423376 = 24319181977616129
BaseRepresentation
bin10110100101111110001011…
…111101000001100111010000
3111000211100002102001000110020
4112211332023331001213100
5101011004410101022001
6551200145043503440
726633662300455144
oct2645761375014720
9430740072030406
1099366416423376
1129730073659483
12b189a63987b80
13435a29c873a0b
141a7750860b224
15b74b3640c736
hex5a5f8bf419d0

99366416423376 has 160 divisors (see below), whose sum is σ = 271978315190400. Its totient is φ = 31173513707520.

The previous prime is 99366416423303. The next prime is 99366416423401. The reversal of 99366416423376 is 67332461466399.

It is a super-3 number, since 3×993664164233763 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99366416423376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160967280 + ... + 161583408.

It is an arithmetic number, because the mean of its divisors is an integer number (1699864469940).

Almost surely, 299366416423376 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 99366416423376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135989157595200).

99366416423376 is an abundant number, since it is smaller than the sum of its proper divisors (172611898767024).

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

99366416423376 is a wasteful number, since it uses less digits than its factorization.

99366416423376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617317 (or 617311 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 69.

The spelling of 99366416423376 in words is "ninety-nine trillion, three hundred sixty-six billion, four hundred sixteen million, four hundred twenty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 181 228 304 362 456 543 724 912 977 1086 1448 1954 2172 2896 2931 3439 3908 4344 5862 6878 7816 8688 10317 11724 13756 15632 18563 20634 23448 27512 37126 41268 46896 55024 55689 74252 82536 111378 148504 165072 176837 222756 297008 353674 445512 530511 616129 707348 891024 1061022 1232258 1414696 1848387 2122044 2464516 2829392 3359903 3696774 4244088 4929032 6719806 7393548 8488176 9858064 10079709 11706451 13439612 14787096 20159418 23412902 26879224 29574192 35119353 40318836 46825804 53758448 70238706 80637672 93651608 111519349 140477412 161275344 187303216 223038698 280954824 334558047 446077396 561909648 601958033 669116094 892154792 1203916066 1338232188 1784309584 1805874099 2118867631 2407832132 2676464376 3611748198 4237735262 4815664264 5352928752 6356602893 7223496396 8475470524 9631328528 11437202627 12713205786 14446992792 16950941048 22874405254 25426411572 28893985584 33901882096 34311607881 45748810508 50852823144 68623215762 91497621016 101705646288 108954403973 137246431524 182995242032 217908807946 274492863048 326863211919 435817615892 548985726096 653726423838 871635231784 1307452847676 1743270463568 2070133675487 2614905695352 4140267350974 5229811390704 6210401026461 8280534701948 12420802052922 16561069403896 24841604105844 33122138807792 49683208211688 99366416423376