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5455515040 = 25571563853
BaseRepresentation
bin1010001010010110…
…01000110110100000
3112002012111212201121
411011023020312200
542133102440130
62301202342024
7252123053443
oct50513106640
915065455647
105455515040
11234a550218
12108305a914
1368c339911
1439a79765a
1521de33d7a
hex1452c8da0

5455515040 has 96 divisors (see below), whose sum is σ = 13108749696. Its totient is φ = 2145131520.

The previous prime is 5455515019. The next prime is 5455515041. The reversal of 5455515040 is 405155545.

It is a junction number, because it is equal to n+sod(n) for n = 5455514987 and 5455515005.

It is not an unprimeable number, because it can be changed into a prime (5455515041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6395254 + ... + 6396106.

It is an arithmetic number, because the mean of its divisors is an integer number (136549476).

Almost surely, 25455515040 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 5455515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554374848).

5455515040 is an abundant number, since it is smaller than the sum of its proper divisors (7653234656).

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

5455515040 is a wasteful number, since it uses less digits than its factorization.

5455515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 34.

The square root of 5455515040 is about 73861.4584204780. The cubic root of 5455515040 is about 1760.4022668660.

The spelling of 5455515040 in words is "five billion, four hundred fifty-five million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 563 568 710 853 1126 1136 1420 1706 2252 2272 2815 2840 3412 4265 4504 5630 5680 6824 8530 9008 11260 11360 13648 17060 18016 22520 27296 34120 39973 45040 60563 68240 79946 90080 121126 136480 159892 199865 242252 302815 319784 399730 480239 484504 605630 639568 799460 960478 969008 1211260 1279136 1598920 1920956 1938016 2401195 2422520 3197840 3841912 4802390 4845040 6395680 7683824 9604780 9690080 15367648 19209560 34096969 38419120 68193938 76838240 136387876 170484845 272775752 340969690 545551504 681939380 1091103008 1363878760 2727757520 5455515040