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661711644 = 22321113712197
BaseRepresentation
bin100111011100001…
…110101100011100
31201010010102201200
4213130032230130
52323344233034
6145354435500
722253312316
oct4734165434
91633112650
10661711644
1130a578830
12165732b90
13a7124969
1463c4c7b6
153d15ca99
hex2770eb1c

661711644 has 72 divisors (see below), whose sum is σ = 1838189808. Its totient is φ = 199038720.

The previous prime is 661711597. The next prime is 661711657. The reversal of 661711644 is 446117166.

It is a happy number.

661711644 is a `hidden beast` number, since 6 + 6 + 1 + 7 + 1 + 1 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 661711599 and 661711608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48154 + ... + 60350.

It is an arithmetic number, because the mean of its divisors is an integer number (25530414).

Almost surely, 2661711644 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 661711644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919094904).

661711644 is an abundant number, since it is smaller than the sum of its proper divisors (1176478164).

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

661711644 is a wasteful number, since it uses less digits than its factorization.

661711644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12355 (or 12350 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 661711644 is about 25723.7564130902. The cubic root of 661711644 is about 871.4107748915.

The spelling of 661711644 in words is "six hundred sixty-one million, seven hundred eleven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 396 411 548 822 1233 1507 1644 2466 3014 4521 4932 6028 9042 12197 13563 18084 24394 27126 36591 48788 54252 73182 109773 134167 146364 219546 268334 402501 439092 536668 805002 1207503 1610004 1670989 2415006 3341978 4830012 5012967 6683956 10025934 15038901 18380879 20051868 30077802 36761758 55142637 60155604 73523516 110285274 165427911 220570548 330855822 661711644