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2126344968 = 23321110924631
BaseRepresentation
bin111111010111101…
…0111001100001000
312111012002111221100
41332233113030020
513323321014333
6550554541400
7103456430316
oct17657271410
95435074840
102126344968
119a12a24a0
124b4137860
1327b6b32b7
141625870b6
15c6a1d213
hex7ebd7308

2126344968 has 96 divisors (see below), whose sum is σ = 6340276800. Its totient is φ = 638409600.

The previous prime is 2126344951. The next prime is 2126345033. The reversal of 2126344968 is 8694436212.

2126344968 is a `hidden beast` number, since 2 + 1 + 2 + 634 + 4 + 9 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74013 + ... + 98643.

It is an arithmetic number, because the mean of its divisors is an integer number (66044550).

Almost surely, 22126344968 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 2126344968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170138400).

2126344968 is an abundant number, since it is smaller than the sum of its proper divisors (4213931832).

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

2126344968 is a wasteful number, since it uses less digits than its factorization.

2126344968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24763 (or 24756 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2126344968 is about 46112.3082050769. The cubic root of 2126344968 is about 1285.9119766703.

The spelling of 2126344968 in words is "two billion, one hundred twenty-six million, three hundred forty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 109 132 198 218 264 327 396 436 654 792 872 981 1199 1308 1962 2398 2616 3597 3924 4796 7194 7848 9592 10791 14388 21582 24631 28776 43164 49262 73893 86328 98524 147786 197048 221679 270941 295572 443358 541882 591144 812823 886716 1083764 1625646 1773432 2167528 2438469 2684779 3251292 4876938 5369558 6502584 8054337 9753876 10739116 16108674 19507752 21478232 24163011 29532569 32217348 48326022 59065138 64434696 88597707 96652044 118130276 177195414 193304088 236260552 265793121 354390828 531586242 708781656 1063172484 2126344968