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5521095040 = 27531421661
BaseRepresentation
bin1010010010001010…
…10011100110000000
3112020202220200120111
411021011103212000
542301400020130
62311504121104
7253550350666
oct51105234600
915222820514
105521095040
11238357246a
1210a1006194
1369cabb656
143a5388c36
15224a8a02a
hex149153980

5521095040 has 128 divisors (see below), whose sum is σ = 13677661440. Its totient is φ = 2128896000.

The previous prime is 5521095017. The next prime is 5521095059. The reversal of 5521095040 is 405901255.

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

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 5521094993 and 5521095011.

It is a congruent number.

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, 8352310 + ... + 8352970.

It is an arithmetic number, because the mean of its divisors is an integer number (106856730).

Almost surely, 25521095040 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 5521095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838830720).

5521095040 is an abundant number, since it is smaller than the sum of its proper divisors (8156566400).

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

5521095040 is a wasteful number, since it uses less digits than its factorization.

5521095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 5521095040 is about 74304.0714900604. The cubic root of 5521095040 is about 1767.4280412731.

Adding to 5521095040 its reverse (405901255), we get a palindrome (5926996295).

The spelling of 5521095040 in words is "five billion, five hundred twenty-one million, ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 421 496 620 640 661 842 992 1240 1322 1684 1984 2105 2480 2644 3305 3368 3968 4210 4960 5288 6610 6736 8420 9920 10576 13051 13220 13472 16840 19840 20491 21152 26102 26440 26944 33680 40982 42304 52204 52880 53888 65255 67360 81964 84608 102455 104408 105760 130510 134720 163928 204910 208816 211520 261020 269440 278281 327856 409820 417632 423040 522040 556562 655712 819640 835264 1044080 1113124 1311424 1391405 1639280 1670528 2088160 2226248 2622848 2782810 3278560 4176320 4452496 5565620 6557120 8352640 8626711 8904992 11131240 13114240 17253422 17809984 22262480 34506844 35619968 43133555 44524960 69013688 86267110 89049920 138027376 172534220 178099840 276054752 345068440 552109504 690136880 1104219008 1380273760 2760547520 5521095040