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213642563640 = 233511161850427
BaseRepresentation
bin1100011011111000010…
…1101101000000111000
3202102110010011201120020
43012332011231000320
512000014444014030
6242051313330440
721302155554012
oct3067605550070
9672403151506
10213642563640
1182672726190
12354a4566a20
13171b987013c
14a4a9d131b2
155856000510
hex31be16d038

213642563640 has 64 divisors (see below), whose sum is σ = 699193848960. Its totient is φ = 51792136320.

The previous prime is 213642563639. The next prime is 213642563647. The reversal of 213642563640 is 46365246312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213642563592 and 213642563601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213642563647) 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, 80923894 + ... + 80926533.

It is an arithmetic number, because the mean of its divisors is an integer number (10924903890).

Almost surely, 2213642563640 is an apocalyptic number.

213642563640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213642563640 is an abundant number, since it is smaller than the sum of its proper divisors (485551285320).

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

213642563640 is a wasteful number, since it uses less digits than its factorization.

213642563640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161850452 (or 161850448 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 213642563640 in words is "two hundred thirteen billion, six hundred forty-two million, five hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 161850427 323700854 485551281 647401708 809252135 971102562 1294803416 1618504270 1780354697 1942205124 2427756405 3237008540 3560709394 3884410248 4855512810 5341064091 6474017080 7121418788 8901773485 9711025620 10682128182 14242837576 17803546970 19422051240 21364256364 26705320455 35607093940 42728512728 53410640910 71214187880 106821281820 213642563640