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132772050558688 = 2543827116676319
BaseRepresentation
bin11110001100000101100110…
…111010001101111011100000
3122102002212212111012011001111
4132030011212322031323200
5114400314124420334223
61150214345445513104
736652315120530112
oct3614054672157340
9572085774164044
10132772050558688
113933a3461a8882
1212a84143112794
13591147349a968
1424b02b70253b2
151053a8bc8c30d
hex78c166e8dee0

132772050558688 has 48 divisors (see below), whose sum is σ = 267797356485120. Its totient is φ = 64763757184896.

The previous prime is 132772050558643. The next prime is 132772050558689. The reversal of 132772050558688 is 886855050277231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132772050558689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57200208 + ... + 59476111.

It is an arithmetic number, because the mean of its divisors is an integer number (5579111593440).

Almost surely, 2132772050558688 is an apocalyptic number.

It is an amenable number.

132772050558688 is an abundant number, since it is smaller than the sum of its proper divisors (135025305926432).

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

132772050558688 is a wasteful number, since it uses less digits than its factorization.

132772050558688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116677199 (or 116677191 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 67.

The spelling of 132772050558688 in words is "one hundred thirty-two trillion, seven hundred seventy-two billion, fifty million, five hundred fifty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 827 1376 1654 3308 6616 13232 26464 35561 71122 142244 284488 568976 1137952 116676319 233352638 466705276 933410552 1866821104 3733642208 5017081717 10034163434 20068326868 40136653736 80273307472 96491315813 160546614944 192982631626 385965263252 771930526504 1543861053008 3087722106016 4149126579959 8298253159918 16596506319836 33193012639672 66386025279344 132772050558688