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2992998463008 = 253296803158029
BaseRepresentation
bin101011100011011100100…
…111000011011000100000
3101121010110012122100022020
4223203130213003120200
5343014130101304013
610210544200141440
7426144202113561
oct53433447033040
911533405570266
102992998463008
11a54361672374
12404091167880
131893141094c8
14a4c0d09a168
1552cc4c24623
hex2b8dc9c3620

2992998463008 has 96 divisors (see below), whose sum is σ = 8128785067200. Its totient is φ = 963116184576.

The previous prime is 2992998462991. The next prime is 2992998463009. The reversal of 2992998463008 is 8003648992992.

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

It is not an unprimeable number, because it can be changed into a prime (2992998463009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18860538 + ... + 19018566.

It is an arithmetic number, because the mean of its divisors is an integer number (84674844450).

Almost surely, 22992998463008 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 2992998463008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064392533600).

2992998463008 is an abundant number, since it is smaller than the sum of its proper divisors (5135786604192).

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

2992998463008 is a wasteful number, since it uses less digits than its factorization.

2992998463008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164874 (or 164866 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 69.

The spelling of 2992998463008 in words is "two trillion, nine hundred ninety-two billion, nine hundred ninety-eight million, four hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 6803 13606 20409 27212 40818 54424 81636 108848 158029 163272 197287 217696 316058 326544 394574 474087 591861 632116 653088 789148 948174 1183722 1264232 1578296 1896348 2367444 2528464 3156592 3792696 4582841 4734888 5056928 6313184 7585392 9165682 9469776 13748523 15170784 18331364 18939552 27497046 36662728 54994092 73325456 109988184 146650912 219976368 439952736 1075071287 2150142574 3225213861 4300285148 6450427722 8600570296 12900855444 17201140592 25801710888 31177067323 34402281184 51603421776 62354134646 93531201969 103206843552 124708269292 187062403938 249416538584 374124807876 498833077168 748249615752 997666154336 1496499231504 2992998463008