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130400684766 = 232113923167879
BaseRepresentation
bin111100101110001111…
…1001000101011011110
3110110120211220010210100
41321130133020223132
54114030033403031
6135523311121530
712264310350342
oct1713437105336
9413524803710
10130400684766
1150336872570
1221332b132a6
13c3b1bc5a01
1464507ab622
1535d310ede6
hex1e5c7c8ade

130400684766 has 48 divisors (see below), whose sum is σ = 308300204160. Its totient is φ = 39505050960.

The previous prime is 130400684749. The next prime is 130400684779. The reversal of 130400684766 is 667486004031.

It is a happy number.

130400684766 is a `hidden beast` number, since 130 + 40 + 0 + 6 + 8 + 476 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692815 + ... + 860693.

It is an arithmetic number, because the mean of its divisors is an integer number (6422920920).

Almost surely, 2130400684766 is an apocalyptic number.

130400684766 is an abundant number, since it is smaller than the sum of its proper divisors (177899519394).

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

130400684766 is a wasteful number, since it uses less digits than its factorization.

130400684766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171821 (or 171818 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 130400684766 its reverse (667486004031), we get a palindrome (797886688797).

The spelling of 130400684766 in words is "one hundred thirty billion, four hundred million, six hundred eighty-four thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 3923 7846 11769 23538 35307 43153 70614 86306 129459 167879 258918 335758 388377 503637 776754 1007274 1510911 1846669 3021822 3693338 5540007 11080014 16620021 33240042 658589317 1317178634 1975767951 3951535902 5927303853 7244482487 11854607706 14488964974 21733447461 43466894922 65200342383 130400684766