Search a number
-
+
135452535050430 = 2325133112492990041
BaseRepresentation
bin11110110011000110000000…
…001111000101000010111110
3122202121010200001122212020100
4132303012000033011002332
5120223223242433103210
61200030011403101530
740350060043011153
oct3663060017050276
9582533601585210
10135452535050430
113a183108883034
1213237737b118a6
135a77171ca9630
142563d1adb022a
15109d6708a95c0
hex7b31803c50be

135452535050430 has 192 divisors, whose sum is σ = 391815103680000. Its totient is φ = 32240764108800.

The previous prime is 135452535050411. The next prime is 135452535050477. The reversal of 135452535050430 is 34050535254531.

135452535050430 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 52 + 53 + 505 + 0 + 43 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43806210 + ... + 46796250.

It is an arithmetic number, because the mean of its divisors is an integer number (2040703665000).

Almost surely, 2135452535050430 is an apocalyptic number.

135452535050430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135452535050430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195907551840000).

135452535050430 is an abundant number, since it is smaller than the sum of its proper divisors (256362568629570).

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

135452535050430 is a wasteful number, since it uses less digits than its factorization.

135452535050430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991347 (or 2991344 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 135452535050430 in words is "one hundred thirty-five trillion, four hundred fifty-two billion, five hundred thirty-five million, fifty thousand, four hundred thirty".