Search a number
-
+
36482950100480 = 295132331249597
BaseRepresentation
bin10000100101110010110010…
…10001111111011000000000
311210011201212112001101102212
420102321121101333120000
514240214040211203410
6205332011431001252
710453543341130142
oct1022713121773000
9153151775041385
1036482950100480
1110696372250054
124112782209228
1317484344a4c70
14901ad9c10c92
15434012b12b05
hex212e5947f600

36482950100480 has 480 divisors, whose sum is σ = 101573302767552. Its totient is φ = 12469053358080.

The previous prime is 36482950100447. The next prime is 36482950100501. The reversal of 36482950100480 is 8400105928463.

It is a super-2 number, since 2×364829501004802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735563042 + ... + 735612638.

Almost surely, 236482950100480 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 36482950100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50786651383776).

36482950100480 is an abundant number, since it is smaller than the sum of its proper divisors (65090352667072).

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

36482950100480 is a wasteful number, since it uses less digits than its factorization.

36482950100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49718 (or 49671 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 36482950100480 in words is "thirty-six trillion, four hundred eighty-two billion, nine hundred fifty million, one hundred thousand, four hundred eighty".