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136006546932 = 223741379199
BaseRepresentation
bin111111010101010011…
…1110011010111110100
3111000001112022110000000
41332222213303113310
54212020134000212
6142251444151300
712553240400664
oct1765247632764
9430045273000
10136006546932
1152753171803
1222438398530
13ca96423509
1468231001a4
1538103411dc
hex1faa9f35f4

136006546932 has 96 divisors (see below), whose sum is σ = 365670144000. Its totient is φ = 44229654720.

The previous prime is 136006546927. The next prime is 136006546969. The reversal of 136006546932 is 239645600631.

136006546932 is a `hidden beast` number, since 1 + 3 + 600 + 6 + 5 + 4 + 6 + 9 + 32 = 666.

It is a super-2 number, since 2×1360065469322 (a number of 23 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 31 ways as a sum of consecutive naturals, for example, 169069 + ... + 548267.

It is an arithmetic number, because the mean of its divisors is an integer number (3809064000).

Almost surely, 2136006546932 is an apocalyptic number.

136006546932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136006546932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182835072000).

136006546932 is an abundant number, since it is smaller than the sum of its proper divisors (229663597068).

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

136006546932 is an equidigital number, since it uses as much as digits as its factorization.

136006546932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379265 (or 379245 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 136006546932 in words is "one hundred thirty-six billion, six million, five hundred forty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 2187 2214 2916 3321 4374 4428 6642 8748 9963 13284 19926 29889 39852 59778 89667 119556 179334 358668 379199 758398 1137597 1516796 2275194 3412791 4550388 6825582 10238373 13651164 15547159 20476746 30715119 31094318 40953492 46641477 61430238 62188636 92145357 93282954 122860476 139924431 184290714 186565908 276436071 279848862 368581428 419773293 552872142 559697724 829308213 839546586 1105744284 1259319879 1658616426 1679093172 2518639758 3317232852 3777959637 5037279516 7555919274 11333878911 15111838548 22667757822 34001636733 45335515644 68003273466 136006546932