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213842299648 = 2843157123733
BaseRepresentation
bin1100011100100111111…
…1101000101100000000
3202102222001000100212011
43013021333220230000
512000422112042043
6242123210342304
721310132361515
oct3071177505400
9672861010764
10213842299648
118276544886a
123553b42a994
131721c064223
14a4c866730c
15586880659d
hex31c9fe8b00

213842299648 has 72 divisors (see below), whose sum is σ = 439561570448. Its totient is φ = 103768584192.

The previous prime is 213842299637. The next prime is 213842299673. The reversal of 213842299648 is 846992248312.

It is a junction number, because it is equal to n+sod(n) for n = 213842299592 and 213842299601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666390 + ... + 1790122.

Almost surely, 2213842299648 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 213842299648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219780785224).

213842299648 is an abundant number, since it is smaller than the sum of its proper divisors (225719270800).

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

213842299648 is a wasteful number, since it uses less digits than its factorization.

213842299648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123949 (or 123935 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The spelling of 213842299648 in words is "two hundred thirteen billion, eight hundred forty-two million, two hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 157 172 256 314 344 628 688 1256 1376 2512 2752 5024 5504 6751 10048 11008 13502 20096 27004 40192 54008 108016 123733 216032 247466 432064 494932 864128 989864 1728256 1979728 3959456 5320519 7918912 10641038 15837824 19426081 21282076 31675648 38852162 42564152 77704324 85128304 155408648 170256608 310817296 340513216 621634592 681026432 835321483 1243269184 1362052864 1670642966 2486538368 3341285932 4973076736 6682571864 13365143728 26730287456 53460574912 106921149824 213842299648