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2108356704 = 253283193457
BaseRepresentation
bin111110110101010…
…1111100001100000
312102221020121200100
41331222233201200
513304214403304
6545113222400
7103150510356
oct17552574140
95387217610
102108356704
11992126663
124aa101a00
13277a5575c
141600237d6
15c5168439
hex7daaf860

2108356704 has 144 divisors (see below), whose sum is σ = 6112662192. Its totient is φ = 689209344.

The previous prime is 2108356703. The next prime is 2108356729. The reversal of 2108356704 is 4076538012.

2108356704 is a `hidden beast` number, since 2 + 10 + 83 + 567 + 0 + 4 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108356703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4613244 + ... + 4613700.

It is an arithmetic number, because the mean of its divisors is an integer number (42449043).

Almost surely, 22108356704 is an apocalyptic number.

2108356704 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 2108356704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056331096).

2108356704 is an abundant number, since it is smaller than the sum of its proper divisors (4004305488).

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

2108356704 is a wasteful number, since it uses less digits than its factorization.

2108356704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

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

The square root of 2108356704 is about 45916.8455362517. The cubic root of 2108356704 is about 1282.2755550370.

The spelling of 2108356704 in words is "two billion, one hundred eight million, three hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 193 249 288 332 386 457 498 579 664 747 772 914 996 1158 1328 1371 1494 1544 1737 1828 1992 2316 2656 2742 2988 3088 3474 3656 3984 4113 4632 5484 5976 6176 6948 7312 7968 8226 9264 10968 11952 13896 14624 16019 16452 18528 21936 23904 27792 32038 32904 37931 43872 48057 55584 64076 65808 75862 88201 96114 113793 128152 131616 144171 151724 176402 192228 227586 256304 264603 288342 303448 341379 352804 384456 455172 512608 529206 576684 606896 682758 705608 768912 793809 910344 1058412 1153368 1213792 1365516 1411216 1537824 1587618 1820688 2116824 2306736 2731032 2822432 3175236 3641376 4233648 4613472 5462064 6350472 7320683 8467296 10924128 12700944 14641366 21962049 25401888 29282732 43924098 58565464 65886147 87848196 117130928 131772294 175696392 234261856 263544588 351392784 527089176 702785568 1054178352 2108356704