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299200026912 = 25341186140847
BaseRepresentation
bin1000101101010011011…
…01100001100100100000
31001121021202122011222020
410112221231201210200
514400230201330122
6345241154541440
730421312160313
oct4265155414440
91047252564866
10299200026912
11105987684716
1249ba1597880
13222a3188057
14106a4bc297a
157bb233ec5c
hex45a9b61920

299200026912 has 96 divisors (see below), whose sum is σ = 805008201984. Its totient is φ = 97246156800.

The previous prime is 299200026863. The next prime is 299200026913. The reversal of 299200026912 is 219620002992.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2992000269122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (299200026913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7304473 + ... + 7345319.

It is an arithmetic number, because the mean of its divisors is an integer number (8385502104).

Almost surely, 2299200026912 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 299200026912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402504100992).

299200026912 is an abundant number, since it is smaller than the sum of its proper divisors (505808175072).

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

299200026912 is a wasteful number, since it uses less digits than its factorization.

299200026912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42762 (or 42754 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 299200026912 in words is "two hundred ninety-nine billion, two hundred million, twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1861 1968 3722 3936 5583 7444 11166 14888 22332 29776 40847 44664 59552 76301 81694 89328 122541 152602 163388 178656 228903 245082 305204 326776 457806 490164 610408 653552 915612 980328 1220816 1307104 1674727 1831224 1960656 2441632 3349454 3662448 3921312 5024181 6698908 7324896 10048362 13397816 20096724 26795632 40193448 53591264 76016267 80386896 152032534 160773792 228048801 304065068 456097602 608130136 912195204 1216260272 1824390408 2432520544 3116666947 3648780816 6233333894 7297561632 9350000841 12466667788 18700001682 24933335576 37400003364 49866671152 74800006728 99733342304 149600013456 299200026912