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132775699456 = 2105921932
BaseRepresentation
bin111101110101000001…
…1000110010000000000
3110200201100220101110101
41323222003012100000
54133411034340311
6140555112012144
712410206552411
oct1735203062000
9420640811411
10132775699456
115134546a224
1221896391054
13c69cc7404a
1465d7da5808
1536c189cec1
hex1eea0c6400

132775699456 has 99 divisors (see below), whose sum is σ = 271402852161. Its totient is φ = 64924483584.

The previous prime is 132775699453. The next prime is 132775699457. The reversal of 132775699456 is 654996577231.

The square root of 132775699456 is 364384.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32170009600 + 100605689856 = 179360^2 + 317184^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132775699451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 687956896 + ... + 687957088.

Almost surely, 2132775699456 is an apocalyptic number.

132775699456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132775699456 is the 364384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132775699456

132775699456 is an abundant number, since it is smaller than the sum of its proper divisors (138627152705).

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

132775699456 is an frugal number, since it uses more digits than its factorization.

132775699456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 254 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 64.

Multiplying 132775699456 by its sum of digits (64), we get a square (8497644765184 = 29150722).

132775699456 divided by its sum of digits (64) gives a square (2074620304 = 455482).

The spelling of 132775699456 in words is "one hundred thirty-two billion, seven hundred seventy-five million, six hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 193 236 256 386 472 512 772 944 1024 1544 1888 3088 3481 3776 6176 6962 7552 11387 12352 13924 15104 22774 24704 27848 30208 37249 45548 49408 55696 60416 74498 91096 98816 111392 148996 182192 197632 222784 297992 364384 445568 595984 671833 728768 891136 1191968 1343666 1457536 1782272 2197691 2383936 2687332 2915072 3564544 4395382 4767872 5374664 5830144 8790764 9535744 10749328 11660288 17581528 19071488 21498656 35163056 38142976 42997312 70326112 85994624 129663769 140652224 171989248 259327538 281304448 343978496 518655076 562608896 687956992 1037310152 1125217792 2074620304 2250435584 4149240608 8298481216 16596962432 33193924864 66387849728 132775699456