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132326546440 = 235112910370419
BaseRepresentation
bin111101100111101000…
…1101101110000001000
3110122120001202001100111
41323033101231300020
54132001043441230
6140442345044104
712363114041404
oct1731721556010
9418501661314
10132326546440
1151134981990
122178ba86634
13c62abb2a2a
146594488104
15369722a92a
hex1ecf46dc08

132326546440 has 64 divisors (see below), whose sum is σ = 336001608000. Its totient is φ = 46459472640.

The previous prime is 132326546431. The next prime is 132326546453. The reversal of 132326546440 is 44645623231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 132326546393 and 132326546402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5172450 + ... + 5197969.

It is an arithmetic number, because the mean of its divisors is an integer number (5250025125).

Almost surely, 2132326546440 is an apocalyptic number.

132326546440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132326546440 is an abundant number, since it is smaller than the sum of its proper divisors (203675061560).

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

132326546440 is a wasteful number, since it uses less digits than its factorization.

132326546440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370470 (or 10370466 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 132326546440 in words is "one hundred thirty-two billion, three hundred twenty-six million, five hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 10370419 20740838 41481676 51852095 82963352 103704190 114074609 207408380 228149218 300742151 414816760 456298436 570373045 601484302 912596872 1140746090 1202968604 1503710755 2281492180 2405937208 3007421510 3308163661 4562984360 6014843020 6616327322 12029686040 13232654644 16540818305 26465309288 33081636610 66163273220 132326546440