Search a number
-
+
206413041536 = 2713210392641
BaseRepresentation
bin1100000000111100101…
…1010000111110000000
3201201210021112221122022
43000033023100332000
511340213214312121
6234454055501012
720625051622052
oct3001713207600
9651707487568
10206413041536
117a5a2865229
1234007387768
1316606b44600
149dc1acb8d2
155581499aab
hex300f2d0f80

206413041536 has 96 divisors (see below), whose sum is σ = 449606448720. Its totient is φ = 94341611520.

The previous prime is 206413041469. The next prime is 206413041547. The reversal of 206413041536 is 635140314602.

It is a super-2 number, since 2×2064130415362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206413041496 and 206413041505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2181776 + ... + 2274416.

Almost surely, 2206413041536 is an apocalyptic number.

206413041536 is a gapful number since it is divisible by the number (26) 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 206413041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224803224360).

206413041536 is an abundant number, since it is smaller than the sum of its proper divisors (243193407184).

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

206413041536 is a wasteful number, since it uses less digits than its factorization.

206413041536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92784 (or 92759 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

It can be divided in two parts, 206 and 413041536, that multiplied together give a square (85086556416 = 2916962).

The spelling of 206413041536 in words is "two hundred six billion, four hundred thirteen million, forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 169 206 208 338 412 416 676 824 832 1339 1352 1648 1664 2678 2704 3296 5356 5408 6592 10712 10816 13184 17407 21424 21632 34814 42848 69628 85696 92641 139256 171392 185282 278512 370564 557024 741128 1114048 1204333 1482256 2228096 2408666 2964512 4817332 5929024 9542023 9634664 11858048 15656329 19084046 19269328 31312658 38168092 38538656 62625316 76336184 77077312 124046299 125250632 152672368 154154624 248092598 250501264 305344736 496185196 501002528 610689472 992370392 1002005056 1221378944 1612601887 1984740784 2004010112 3225203774 3969481568 6450407548 7938963136 12900815096 15877926272 25801630192 51603260384 103206520768 206413041536