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5655116000 = 25532948751
BaseRepresentation
bin1010100010001001…
…00011100011100000
3112121010002122202202
411101010203203200
543040202203000
62333052432332
7260065456442
oct52104434340
915533078682
105655116000
112442190396
121119a786a8
136c17b43b1
143b90b4492
1523170edd5
hex1511238e0

5655116000 has 96 divisors (see below), whose sum is σ = 14374039680. Its totient is φ = 2184000000.

The previous prime is 5655115987. The next prime is 5655116021. The reversal of 5655116000 is 6115565.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 91625 + ... + 140375.

It is an arithmetic number, because the mean of its divisors is an integer number (149729580).

Almost surely, 25655116000 is an apocalyptic number.

5655116000 is a gapful number since it is divisible by the number (50) 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 5655116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187019840).

5655116000 is an abundant number, since it is smaller than the sum of its proper divisors (8718923680).

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

5655116000 is a wasteful number, since it uses less digits than its factorization.

5655116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48805 (or 48787 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 5655116000 is about 75200.5053174512. The cubic root of 5655116000 is about 1781.6149128236.

The spelling of 5655116000 in words is "five billion, six hundred fifty-five million, one hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 48751 58000 97502 116000 195004 243755 390008 487510 780016 975020 1218775 1413779 1560032 1950040 2437550 2827558 3900080 4875100 5655116 6093875 7068895 7800160 9750200 11310232 12187750 14137790 19500400 22620464 24375500 28275580 35344475 39000800 45240928 48751000 56551160 70688950 97502000 113102320 141377900 176722375 195004000 226204640 282755800 353444750 565511600 706889500 1131023200 1413779000 2827558000 5655116000