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132973998336 = 28327121072
BaseRepresentation
bin111101111010111011…
…1100011000100000000
3110201020012001000101100
41323311313203010000
54134312320421321
6141030514134400
712415135223304
oct1736567430400
9421205030340
10132973998336
11514373a00a3
1221930881400
13c702083c6a
146616463d04
1536d3ebd326
hex1ef5de3100

132973998336 has 243 divisors, whose sum is σ = 392541121063. Its totient is φ = 43291960320.

The previous prime is 132973998307. The next prime is 132973998337. The reversal of 132973998336 is 633899379231.

The square root of 132973998336 is 364656.

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

132973998336 is a `hidden beast` number, since 1 + 3 + 297 + 3 + 9 + 9 + 8 + 336 = 666.

It is a Duffinian number.

Its product of digits (39680928) is a multiple of the sum of its prime factors (378).

It is not an unprimeable number, because it can be changed into a prime (132973998337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1242747595 + ... + 1242747701.

Almost surely, 2132973998336 is an apocalyptic number.

132973998336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132973998336 is the 364656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132973998336

132973998336 is an abundant number, since it is smaller than the sum of its proper divisors (259567122727).

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

132973998336 is an frugal number, since it uses more digits than its factorization.

132973998336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 183 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 63.

The spelling of 132973998336 in words is "one hundred thirty-two billion, nine hundred seventy-three million, nine hundred ninety-eight thousand, three hundred thirty-six".