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5657488100 = 22521123071523
BaseRepresentation
bin1010100010011011…
…00110101011100100
3112121021120011200022
411101031212223210
543041304104400
62333215334312
7260124566255
oct52115465344
915537504608
105657488100
112443560600
12111a821398
136c2134cc4
143b9530b2c
15231a2cb85
hex151366ae4

5657488100 has 108 divisors (see below), whose sum is σ = 13547122512. Its totient is φ = 2049220800.

The previous prime is 5657488099. The next prime is 5657488103. The reversal of 5657488100 is 18847565.

It is a happy number.

It is a super-2 number, since 2×56574881002 = 64014343203283220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (5657488103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3713939 + ... + 3715461.

Almost surely, 25657488100 is an apocalyptic number.

5657488100 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 5657488100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773561256).

5657488100 is an abundant number, since it is smaller than the sum of its proper divisors (7889634412).

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

5657488100 is a wasteful number, since it uses less digits than its factorization.

5657488100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The square root of 5657488100 is about 75216.2754993891. The cubic root of 5657488100 is about 1781.8639839283.

The spelling of 5657488100 in words is "five billion, six hundred fifty-seven million, four hundred eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 307 484 550 605 614 1100 1210 1228 1523 1535 2420 3025 3046 3070 3377 6050 6092 6140 6754 7615 7675 12100 13508 15230 15350 16753 16885 30460 30700 33506 33770 37147 38075 67012 67540 74294 76150 83765 84425 148588 152300 167530 168850 184283 185735 335060 337700 368566 371470 418825 467561 737132 742940 837650 921415 928675 935122 1675300 1842830 1857350 1870244 2337805 3685660 3714700 4607075 4675610 5143171 9214150 9351220 10286342 11689025 18428300 20572684 23378050 25715855 46756100 51431710 56574881 102863420 113149762 128579275 226299524 257158550 282874405 514317100 565748810 1131497620 1414372025 2828744050 5657488100