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5412210816 = 273371672281
BaseRepresentation
bin1010000101001011…
…11100100010000000
3111222012000210111110
411002211330202000
542041011221231
62253014243320
7251056014165
oct50245744200
914865023443
105412210816
112328063101
121070656540
1368338710c
14394b2406c
1521a22d046
hex14297c880

5412210816 has 128 divisors (see below), whose sum is σ = 14859653760. Its totient is φ = 1744035840.

The previous prime is 5412210803. The next prime is 5412210821. The reversal of 5412210816 is 6180122145.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2371596 + ... + 2373876.

It is an arithmetic number, because the mean of its divisors is an integer number (116091045).

Almost surely, 25412210816 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 5412210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429826880).

5412210816 is an abundant number, since it is smaller than the sum of its proper divisors (9447442944).

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

5412210816 is a wasteful number, since it uses less digits than its factorization.

5412210816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5412210816 is about 73567.7294470884. The cubic root of 5412210816 is about 1755.7320415877.

The spelling of 5412210816 in words is "five billion, four hundred twelve million, two hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 167 192 222 296 334 384 444 501 592 668 888 1002 1184 1336 1776 2004 2281 2368 2672 3552 4008 4562 4736 5344 6179 6843 7104 8016 9124 10688 12358 13686 14208 16032 18248 18537 21376 24716 27372 32064 36496 37074 49432 54744 64128 72992 74148 84397 98864 109488 145984 148296 168794 197728 218976 253191 291968 296592 337588 380927 395456 437952 506382 593184 675176 761854 790912 875904 1012764 1142781 1186368 1350352 1523708 2025528 2285562 2372736 2700704 3047416 4051056 4571124 5401408 6094832 8102112 9142248 10802816 12189664 14094299 16204224 18284496 24379328 28188598 32408448 36568992 42282897 48758656 56377196 73137984 84565794 112754392 146275968 169131588 225508784 338263176 451017568 676526352 902035136 1353052704 1804070272 2706105408 5412210816