Search a number
-
+
130578046092 = 223213279012919
BaseRepresentation
bin111100110011100001…
…1101101110010001100
3110111001012122000210100
41321213003231302030
54114410434433332
6135553044411100
712301563035634
oct1714703556214
9414035560710
10130578046092
11504179a277a
12213823a6a90
13c40c884840
14646a1796c4
1535e399667c
hex1e670edc8c

130578046092 has 36 divisors (see below), whose sum is σ = 355462460080. Its totient is φ = 40177860192.

The previous prime is 130578046063. The next prime is 130578046133. The reversal of 130578046092 is 290640875031.

130578046092 is a `hidden beast` number, since 1 + 30 + 5 + 7 + 8 + 0 + 4 + 609 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1305780460922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139505992 + ... + 139506927.

It is a 1-persistent number, because it is pandigital, but 2⋅130578046092 = 261156092184 is not.

Almost surely, 2130578046092 is an apocalyptic number.

130578046092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130578046092 is an abundant number, since it is smaller than the sum of its proper divisors (224884413988).

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

130578046092 is a wasteful number, since it uses less digits than its factorization.

130578046092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279012942 (or 279012937 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 130578046092 in words is "one hundred thirty billion, five hundred seventy-eight million, forty-six thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 279012919 558025838 837038757 1116051676 1674077514 2511116271 3348155028 3627167947 5022232542 7254335894 10044465084 10881503841 14508671788 21763007682 32644511523 43526015364 65289023046 130578046092