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5655373952 = 27174232
BaseRepresentation
bin1010100010001011…
…00010100010000000
3112121010120202121112
411101011202202000
543040233431302
62333102142452
7260100612464
oct52105424200
915533522545
105655373952
112442347178
121119b81a28
136c1874927
143b91404a4
15231761552
hex151162880

5655373952 has 120 divisors (see below), whose sum is σ = 12513812115. Its totient is φ = 2545641472.

The previous prime is 5655373951. The next prime is 5655373961. The reversal of 5655373952 is 2593735565.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 5444078656 + 211295296 = 73784^2 + 14536^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=53176.

Its product of digits (4252500) is a multiple of the sum of its prime divisors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5655373952.

It is not an unprimeable number, because it can be changed into a prime (5655373951) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 245885813 + ... + 245885835.

Almost surely, 25655373952 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 5655373952

5655373952 is an abundant number, since it is smaller than the sum of its proper divisors (6858438163).

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

5655373952 is an frugal number, since it uses more digits than its factorization.

5655373952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 42 counting only the distinct ones).

The product of its digits is 4252500, while the sum is 50.

The square root of 5655373952 is about 75202.2203927517. The cubic root of 5655373952 is about 1781.6420012241.

Multiplying 5655373952 by its sum of digits (50), we get a square (282768697600 = 5317602).

The spelling of 5655373952 in words is "five billion, six hundred fifty-five million, three hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 289 368 391 529 544 578 736 782 1058 1088 1156 1472 1564 2116 2176 2312 2944 3128 4232 4624 4913 6256 6647 8464 8993 9248 9826 12512 13294 16928 17986 18496 19652 25024 26588 33856 35972 36992 39304 50048 53176 67712 71944 78608 83521 106352 112999 143888 152881 157216 167042 212704 225998 287776 305762 314432 334084 425408 451996 575552 611524 628864 668168 850816 903992 1151104 1223048 1336336 1807984 1920983 2446096 2598977 2672672 3615968 3841966 4892192 5197954 5345344 7231936 7683932 9784384 10395908 10690688 14463872 15367864 19568768 20791816 30735728 41583632 44182609 61471456 83167264 88365218 122942912 166334528 176730436 245885824 332669056 353460872 706921744 1413843488 2827686976 5655373952