Search a number
-
+
36420401251332 = 223271789187750891
BaseRepresentation
bin10000100011111110010010…
…00101000100010000000100
311202221202102101100121222100
420101333021011010100010
514233202440210020312
6205243145032032100
710446200331521310
oct1021771105042004
9152852371317870
1036420401251332
111067189503499a
124102626832630
131742576974017
148dca84a32b40
154325a17355dc
hex211fc9144404

36420401251332 has 288 divisors, whose sum is σ = 112717539567360. Its totient is φ = 9678330224640.

The previous prime is 36420401251327. The next prime is 36420401251337. The reversal of 36420401251332 is 23315210402463.

36420401251332 is a `hidden beast` number, since 3 + 64 + 2 + 0 + 40 + 12 + 513 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (36420401251327) and next prime (36420401251337).

It is a super-2 number, since 2×364204012513322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36420401251337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 715629607 + ... + 715680497.

It is an arithmetic number, because the mean of its divisors is an integer number (391380345720).

Almost surely, 236420401251332 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 36420401251332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56358769783680).

36420401251332 is an abundant number, since it is smaller than the sum of its proper divisors (76297138316028).

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

36420401251332 is a wasteful number, since it uses less digits than its factorization.

36420401251332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52891 (or 52886 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 36420401251332 its reverse (23315210402463), we get a palindrome (59735611653795).

The spelling of 36420401251332 in words is "thirty-six trillion, four hundred twenty billion, four hundred one million, two hundred fifty-one thousand, three hundred thirty-two".