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1661643640 = 235473072879
BaseRepresentation
bin110001100001010…
…1010101101111000
311021210200020120001
41203002222231320
511400340044030
6432514442344
756114511046
oct14302525570
94253606501
101661643640
11782a55508
123a45933b4
13206339bb7
1411a97d396
159ad28cca
hex630aab78

1661643640 has 64 divisors (see below), whose sum is σ = 3832012800. Its totient is φ = 648171648.

The previous prime is 1661643623. The next prime is 1661643647. The reversal of 1661643640 is 463461661.

It is a super-2 number, since 2×16616436402 = 5522119172704899200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1661643640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661643647) 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, 575721 + ... + 578599.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 21661643640 is an apocalyptic number.

1661643640 is a gapful number since it is divisible by the number (10) 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 1661643640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916006400).

1661643640 is an abundant number, since it is smaller than the sum of its proper divisors (2170369160).

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

1661643640 is a wasteful number, since it uses less digits than its factorization.

1661643640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 1661643640 is about 40763.2633629841. The cubic root of 1661643640 is about 1184.4388115845.

The spelling of 1661643640 in words is "one billion, six hundred sixty-one million, six hundred forty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 307 376 470 614 940 1228 1535 1880 2456 2879 3070 5758 6140 11516 12280 14395 14429 23032 28790 28858 57580 57716 72145 115160 115432 135313 144290 270626 288580 541252 577160 676565 883853 1082504 1353130 1767706 2706260 3535412 4419265 5412520 7070824 8838530 17677060 35354120 41541091 83082182 166164364 207705455 332328728 415410910 830821820 1661643640