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5681305644 = 2237315936979
BaseRepresentation
bin1010100101010000…
…11101100000101100
3112122221101020012120
411102220131200230
543113403240034
62335430032540
7260534205210
oct52250354054
915587336176
105681305644
112455a49023
1211267a8750
136c7053c21
143bc770940
15233b84c49
hex152a1d82c

5681305644 has 96 divisors (see below), whose sum is σ = 15904358400. Its totient is φ = 1544201280.

The previous prime is 5681305607. The next prime is 5681305657. The reversal of 5681305644 is 4465031865.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5681305596 and 5681305605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135147 + ... + 172125.

It is an arithmetic number, because the mean of its divisors is an integer number (165670400).

Almost surely, 25681305644 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 5681305644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952179200).

5681305644 is an abundant number, since it is smaller than the sum of its proper divisors (10223052756).

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

5681305644 is a wasteful number, since it uses less digits than its factorization.

5681305644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37083 (or 37081 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 5681305644 is about 75374.4362764989. The cubic root of 5681305644 is about 1784.3609817864.

The spelling of 5681305644 in words is "five billion, six hundred eighty-one million, three hundred five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 59 62 84 93 118 124 177 186 217 236 354 372 413 434 651 708 826 868 1239 1302 1652 1829 2478 2604 3658 4956 5487 7316 10974 12803 21948 25606 36979 38409 51212 73958 76818 110937 147916 153636 221874 258853 443748 517706 776559 1035412 1146349 1553118 2181761 2292698 3106236 3439047 4363522 4585396 6545283 6878094 8024443 8727044 13090566 13756188 15272327 16048886 24073329 26181132 30544654 32097772 45816981 48146658 61089308 67634591 91633962 96293316 135269182 183267924 202903773 270538364 405807546 473442137 811615092 946884274 1420326411 1893768548 2840652822 5681305644