Search a number
-
+
5656246648 = 23131910327791
BaseRepresentation
bin1010100010010001…
…10111100101111000
3112121012020002201121
411101020313211320
543040444343043
62333132555024
7260111206003
oct52110674570
915535202647
105656246648
112442892908
12111a322a74
136c1abbc10
143b92ca53a
15231884ded
hex151237978

5656246648 has 64 divisors (see below), whose sum is σ = 12139545600. Its totient is φ = 2449077120.

The previous prime is 5656246621. The next prime is 5656246649. The reversal of 5656246648 is 8466426565.

It is a super-2 number, since 2×56562466482 = 63986252286022471808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 5656246595 and 5656246604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5656246649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189633 + ... + 217423.

It is an arithmetic number, because the mean of its divisors is an integer number (189680400).

Almost surely, 25656246648 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 5656246648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069772800).

5656246648 is an abundant number, since it is smaller than the sum of its proper divisors (6483298952).

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

5656246648 is a wasteful number, since it uses less digits than its factorization.

5656246648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27932 (or 27928 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The square root of 5656246648 is about 75208.0224976033. The cubic root of 5656246648 is about 1781.7336398373.

The spelling of 5656246648 in words is "five billion, six hundred fifty-six million, two hundred forty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 103 104 152 206 247 412 494 824 988 1339 1957 1976 2678 3914 5356 7828 10712 15656 25441 27791 50882 55582 101764 111164 203528 222328 361283 528029 722566 1056058 1445132 2112116 2862473 2890264 4224232 5724946 6864377 11449892 13728754 22899784 27457508 37212149 54386987 54915016 74424298 108773974 148848596 217547948 297697192 435095896 707030831 1414061662 2828123324 5656246648