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66131884 = 22713971873
BaseRepresentation
bin1111110001000…
…1011110101100
311121102211220001
43330101132230
5113412210014
610321234044
71432053220
oct374213654
9147384801
1066131884
1134369955
121a192924
1310915cc0
148ad6780
155c14974
hex3f117ac

66131884 has 48 divisors (see below), whose sum is σ = 143983168. Its totient is φ = 25878528.

The previous prime is 66131873. The next prime is 66131899. The reversal of 66131884 is 48813166.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34372 + ... + 36244.

Almost surely, 266131884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66131884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71991584).

66131884 is an abundant number, since it is smaller than the sum of its proper divisors (77851284).

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

66131884 is a wasteful number, since it uses less digits than its factorization.

66131884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1992 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 66131884 is about 8132.1512528974. The cubic root of 66131884 is about 404.3930022077.

The spelling of 66131884 in words is "sixty-six million, one hundred thirty-one thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 97 182 194 364 388 679 1261 1358 1873 2522 2716 3746 5044 7492 8827 13111 17654 24349 26222 35308 48698 52444 97396 170443 181681 340886 363362 681772 726724 1271767 2361853 2543534 4723706 5087068 9447412 16532971 33065942 66131884