Search a number
-
+
134635656510 = 23256124523799
BaseRepresentation
bin111110101100011101…
…0010001010100111110
3110212111222201222212200
41331120322101110332
54201213212002020
6141503433212330
712504253124625
oct1753072212476
9425458658780
10134635656510
115210a355513
12221152610a6
13c9083c7654
1467330086bc
15377eceb590
hex1f58e9153e

134635656510 has 48 divisors (see below), whose sum is σ = 355791290400. Its totient is φ = 35314269120.

The previous prime is 134635656487. The next prime is 134635656511. The reversal of 134635656510 is 15656536431.

It is a happy number.

134635656510 is a `hidden beast` number, since 1 + 3 + 4 + 635 + 6 + 5 + 6 + 5 + 1 + 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 not an unprimeable number, because it can be changed into a prime (134635656511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12256410 + ... + 12267389.

It is an arithmetic number, because the mean of its divisors is an integer number (7412318550).

Almost surely, 2134635656510 is an apocalyptic number.

134635656510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134635656510 is an abundant number, since it is smaller than the sum of its proper divisors (221155633890).

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

134635656510 is a wasteful number, since it uses less digits than its factorization.

134635656510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24523873 (or 24523870 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 134635656510 in words is "one hundred thirty-four billion, six hundred thirty-five million, six hundred fifty-six thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 24523799 49047598 73571397 122618995 147142794 220714191 245237990 367856985 441428382 735713970 1103570955 1495951739 2207141910 2991903478 4487855217 7479758695 8975710434 13463565651 14959517390 22439276085 26927131302 44878552170 67317828255 134635656510