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2168146944 = 21032317589
BaseRepresentation
bin1000000100111011…
…0100110000000000
312121002202021110200
42001032310300000
513420021200234
6555050525200
7104504642055
oct20116646000
95532667420
102168146944
11a12953987
12506136800
1328725b0b2
14167d4902c
15ca528d99
hex813b4c00

2168146944 has 132 divisors (see below), whose sum is σ = 6463279680. Its totient is φ = 699310080.

The previous prime is 2168146891. The next prime is 2168146963. The reversal of 2168146944 is 4496418612.

It is a super-2 number, since 2×21681469442 = 9401722341553078272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2168146944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281902 + ... + 289490.

It is an arithmetic number, because the mean of its divisors is an integer number (48964240).

Almost surely, 22168146944 is an apocalyptic number.

2168146944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231639840).

2168146944 is an abundant number, since it is smaller than the sum of its proper divisors (4295132736).

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

2168146944 is a wasteful number, since it uses less digits than its factorization.

2168146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7646 (or 7625 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2168146944 is about 46563.3648268679. The cubic root of 2168146944 is about 1294.2839656549.

The spelling of 2168146944 in words is "two billion, one hundred sixty-eight million, one hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2976 3072 3968 4464 4608 5952 7589 7936 8928 9216 11904 15178 15872 17856 22767 23808 30356 31744 35712 45534 47616 60712 68301 71424 91068 95232 121424 136602 142848 182136 235259 242848 273204 285696 364272 470518 485696 546408 705777 728544 941036 971392 1092816 1411554 1457088 1882072 1942784 2117331 2185632 2823108 2914176 3764144 3885568 4234662 4371264 5646216 5828352 7528288 7771136 8469324 8742528 11292432 11656704 15056576 16938648 17485056 22584864 23313408 30113152 33877296 34970112 45169728 60226304 67754592 69940224 90339456 120452608 135509184 180678912 240905216 271018368 361357824 542036736 722715648 1084073472 2168146944