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132742045188 = 223324126918959
BaseRepresentation
bin111101110100000001…
…0101101111000000100
3110200122000120120111000
41323220002231320010
54133323430421223
6140551510413300
712406320524124
oct1735002557004
9420560516430
10132742045188
1151328473285
1221887061230
13c695cbc98c
1465d3724c84
1536bd951543
hex1ee80ade04

132742045188 has 96 divisors (see below), whose sum is σ = 346876992000. Its totient is φ = 43897628160.

The previous prime is 132742045181. The next prime is 132742045193. The reversal of 132742045188 is 881540247231.

132742045188 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 420 + 45 + 188 = 666.

It is not an unprimeable number, because it can be changed into a prime (132742045181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6992053 + ... + 7011011.

It is an arithmetic number, because the mean of its divisors is an integer number (3613302000).

Almost surely, 2132742045188 is an apocalyptic number.

132742045188 is a gapful number since it is divisible by the number (18) 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 132742045188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173438496000).

132742045188 is an abundant number, since it is smaller than the sum of its proper divisors (214134946812).

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

132742045188 is a wasteful number, since it uses less digits than its factorization.

132742045188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19482 (or 19474 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 132742045188 in words is "one hundred thirty-two billion, seven hundred forty-two million, forty-five thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 269 482 538 723 807 964 1076 1446 1614 2169 2421 2892 3228 4338 4842 6507 7263 8676 9684 13014 14526 18959 26028 29052 37918 56877 64829 75836 113754 129658 170631 194487 227508 259316 341262 388974 511893 583461 682524 777948 1023786 1166922 1750383 2047572 2333844 3500766 4569119 5099971 7001532 9138238 10199942 13707357 15299913 18276476 20399884 27414714 30599826 41122071 45899739 54829428 61199652 82244142 91799478 123366213 137699217 164488284 183598956 246732426 275398434 493464852 550796868 1229093011 2458186022 3687279033 4916372044 7374558066 11061837099 14749116132 22123674198 33185511297 44247348396 66371022594 132742045188