Search a number
-
+
20135528826 = 2377323892749
BaseRepresentation
bin10010110000001010…
…111100100101111010
31220222021112211211220
4102300022330211322
5312214143410301
613130010132510
71311656112450
oct226012744572
956867484756
1020135528826
1185a2a87916
123a9b421136
131b8b7aaaca
14d902c49d0
157ccadc936
hex4b02bc97a

20135528826 has 64 divisors (see below), whose sum is σ = 46691040000. Its totient is φ = 5669761536.

The previous prime is 20135528821. The next prime is 20135528869. The reversal of 20135528826 is 62882553102.

It is a happy number.

20135528826 is a nontrivial binomial coefficient, being equal to C(200677, 2).

It is a super-2 number, since 2×201355288262 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20135528821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7323300 + ... + 7326048.

It is an arithmetic number, because the mean of its divisors is an integer number (729547500).

Almost surely, 220135528826 is an apocalyptic number.

20135528826 is the 200676-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20135528826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23345520000).

20135528826 is an abundant number, since it is smaller than the sum of its proper divisors (26555511174).

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

20135528826 is a wasteful number, since it uses less digits than its factorization.

20135528826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223.

The product of its (nonzero) digits is 230400, while the sum is 42.

It can be divided in two parts, 201355 and 28826, that added together give a triangular number (230181 = T678).

The spelling of 20135528826 in words is "twenty billion, one hundred thirty-five million, five hundred twenty-eight thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 2389 2749 3066 4778 5498 7167 8247 14334 16494 16723 19243 33446 38486 50169 57729 100338 115458 174397 200677 348794 401354 523191 602031 1046382 1204062 1220779 1404739 2441558 2809478 3662337 4214217 6567361 7324674 8428434 13134722 19702083 39404166 45971527 91943054 137914581 275829162 479417353 958834706 1438252059 2876504118 3355921471 6711842942 10067764413 20135528826