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2156434944 = 2931923889
BaseRepresentation
bin1000000010001000…
…1001011000000000
312120021201020121220
42000202021120000
513404021404234
6553551515040
7104303252226
oct20042113000
95507636556
102156434944
11a07284544
12502228a80
132849ba211
1416657ab16
15c94b3a49
hex80889600

2156434944 has 120 divisors (see below), whose sum is σ = 6064712280. Its totient is φ = 680804352.

The previous prime is 2156434939. The next prime is 2156434949. The reversal of 2156434944 is 4494346512.

It is an interprime number because it is at equal distance from previous prime (2156434939) and next prime (2156434949).

It is a junction number, because it is equal to n+sod(n) for n = 2156434896 and 2156434905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156434949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552552 + ... + 556440.

It is an arithmetic number, because the mean of its divisors is an integer number (50539269).

Almost surely, 22156434944 is an apocalyptic number.

2156434944 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 2156434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032356140).

2156434944 is an abundant number, since it is smaller than the sum of its proper divisors (3908277336).

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

2156434944 is an equidigital number, since it uses as much as digits as its factorization.

2156434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3913 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 2156434944 is about 46437.4304198671. The cubic root of 2156434944 is about 1291.9492482948.

The spelling of 2156434944 in words is "two billion, one hundred fifty-six million, four hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 512 608 722 768 912 1083 1216 1444 1536 1824 2166 2432 2888 3648 3889 4332 4864 5776 7296 7778 8664 9728 11552 11667 14592 15556 17328 23104 23334 29184 31112 34656 46208 46668 62224 69312 73891 92416 93336 124448 138624 147782 184832 186672 221673 248896 277248 295564 373344 443346 497792 554496 591128 746688 886692 995584 1182256 1403929 1493376 1773384 1991168 2364512 2807858 2986752 3546768 4211787 4729024 5615716 5973504 7093536 8423574 9458048 11231432 14187072 16847148 18916096 22462864 28374144 33694296 37832192 44925728 56748288 67388592 89851456 113496576 134777184 179702912 269554368 359405824 539108736 718811648 1078217472 2156434944