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1966132952 = 237294725759
BaseRepresentation
bin111010100110000…
…1100111011011000
312002000121220100222
41311030030323120
513011312223302
6523033015212
766502566020
oct16514147330
95060556328
101966132952
11919915873
1246a554508
1325444a1a4
141491a0a80
15b7922da2
hex7530ced8

1966132952 has 64 divisors (see below), whose sum is σ = 4451328000. Its totient is φ = 796231296.

The previous prime is 1966132951. The next prime is 1966133003. The reversal of 1966132952 is 2592316691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966132951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63449 + ... + 89207.

It is an arithmetic number, because the mean of its divisors is an integer number (69552000).

Almost surely, 21966132952 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 1966132952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225664000).

1966132952 is an abundant number, since it is smaller than the sum of its proper divisors (2485195048).

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

1966132952 is a wasteful number, since it uses less digits than its factorization.

1966132952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25848 (or 25844 counting only the distinct ones).

The product of its digits is 174960, while the sum is 44.

The square root of 1966132952 is about 44341.0977762166. The cubic root of 1966132952 is about 1252.7688918217.

The spelling of 1966132952 in words is "one billion, nine hundred sixty-six million, one hundred thirty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 47 56 58 94 116 188 203 232 329 376 406 658 812 1316 1363 1624 2632 2726 5452 9541 10904 19082 25759 38164 51518 76328 103036 180313 206072 360626 721252 747011 1210673 1442504 1494022 2421346 2988044 4842692 5229077 5976088 8474711 9685384 10458154 16949422 20916308 33898844 35109517 41832616 67797688 70219034 140438068 245766619 280876136 491533238 983066476 1966132952