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2094724512 = 253237533709
BaseRepresentation
bin111110011011010…
…1111010110100000
312101222121000211100
41330312233112200
513242222141022
6543505114400
7102623602356
oct17466572640
95358530740
102094724512
11985465591
124a5628a00
13274c9187a
1415c2b57d6
15c3d741ac
hex7cdaf5a0

2094724512 has 144 divisors (see below), whose sum is σ = 6234981480. Its totient is φ = 666372096.

The previous prime is 2094724501. The next prime is 2094724537. The reversal of 2094724512 is 2154274902.

It can be written as a sum of positive squares in 4 ways, for example, as 2032567056 + 62157456 = 45084^2 + 7884^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 562914 + ... + 566622.

Almost surely, 22094724512 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 2094724512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117490740).

2094724512 is an abundant number, since it is smaller than the sum of its proper divisors (4140256968).

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

2094724512 is a wasteful number, since it uses less digits than its factorization.

2094724512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2094724512 is about 45768.1604611765. The cubic root of 2094724512 is about 1279.5059356238.

The spelling of 2094724512 in words is "two billion, ninety-four million, seven hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 53 72 74 96 106 111 144 148 159 212 222 288 296 318 333 424 444 477 592 636 666 848 888 954 1184 1272 1332 1696 1776 1908 1961 2544 2664 3552 3709 3816 3922 5088 5328 5883 7418 7632 7844 10656 11127 11766 14836 15264 15688 17649 22254 23532 29672 31376 33381 35298 44508 47064 59344 62752 66762 70596 89016 94128 118688 133524 137233 141192 178032 188256 196577 267048 274466 282384 356064 393154 411699 534096 548932 564768 589731 786308 823398 1068192 1097864 1179462 1235097 1572616 1646796 1769193 2195728 2358924 2470194 3145232 3293592 3538386 4391456 4717848 4940388 6290464 6587184 7076772 7273349 9435696 9880776 13174368 14153544 14546698 18871392 19761552 21820047 28307088 29093396 39523104 43640094 56614176 58186792 65460141 87280188 116373584 130920282 174560376 232747168 261840564 349120752 523681128 698241504 1047362256 2094724512