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2124472116 = 22313172273529
BaseRepresentation
bin111111010100000…
…1101111100110100
312111001120100212110
41332220031330310
513322331101431
6550450451020
7103434500154
oct17650157464
95431510773
102124472116
119a0233388
124b3593a70
1327b1a89c0
1416221a764
15c679d346
hex7ea0df34

2124472116 has 96 divisors (see below), whose sum is σ = 5678951040. Its totient is φ = 612347904.

The previous prime is 2124472093. The next prime is 2124472121. The reversal of 2124472116 is 6112744212.

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, 600240 + ... + 603768.

It is an arithmetic number, because the mean of its divisors is an integer number (59155740).

Almost surely, 22124472116 is an apocalyptic number.

2124472116 is a gapful number since it is divisible by the number (26) 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 2124472116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839475520).

2124472116 is an abundant number, since it is smaller than the sum of its proper divisors (3554478924).

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

2124472116 is a wasteful number, since it uses less digits than its factorization.

2124472116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3791 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2124472116 is about 46091.9962249413. The cubic root of 2124472116 is about 1285.5343285980.

The spelling of 2124472116 in words is "two billion, one hundred twenty-four million, four hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 227 442 454 663 681 884 908 1326 1362 2652 2724 2951 3529 3859 5902 7058 7718 8853 10587 11577 11804 14116 15436 17706 21174 23154 35412 42348 45877 46308 50167 59993 91754 100334 119986 137631 150501 179979 183508 200668 239972 275262 301002 359958 550524 602004 719916 779909 801083 1559818 1602166 2339727 2403249 3119636 3204332 4679454 4806498 9358908 9612996 10414079 13618411 20828158 27236822 31242237 40855233 41656316 54473644 62484474 81710466 124968948 163420932 177039343 354078686 531118029 708157372 1062236058 2124472116