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132696000408 = 233291311455383
BaseRepresentation
bin111101110010101001…
…1000100011110011000
3110200111210221020220210
41323211103010132120
54133230134003113
6140543143451120
712405221251566
oct1734523043630
9420453836823
10132696000408
1151304484144
1221873756aa0
13c6895ba94a
1465cb57aa36
1536b98a86c3
hex1ee54c4798

132696000408 has 64 divisors (see below), whose sum is σ = 345799238400. Its totient is φ = 42380723840.

The previous prime is 132696000407. The next prime is 132696000439. The reversal of 132696000408 is 804000696231.

132696000408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132696000407) 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 15 ways as a sum of consecutive naturals, for example, 636516 + ... + 818867.

It is an arithmetic number, because the mean of its divisors is an integer number (5403113100).

Almost surely, 2132696000408 is an apocalyptic number.

It is an amenable number.

132696000408 is an abundant number, since it is smaller than the sum of its proper divisors (213103237992).

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

132696000408 is a wasteful number, since it uses less digits than its factorization.

132696000408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455552 (or 1455548 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

Adding to 132696000408 its reverse (804000696231), we get a palindrome (936696696639).

The spelling of 132696000408 in words is "one hundred thirty-two billion, six hundred ninety-six million, four hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 131 174 232 262 348 393 524 696 786 1048 1572 3144 3799 7598 11397 15196 22794 30392 45588 91176 1455383 2910766 4366149 5821532 8732298 11643064 17464596 34929192 42206107 84412214 126618321 168824428 190655173 253236642 337648856 381310346 506473284 571965519 762620692 1012946568 1143931038 1525241384 2287862076 4575724152 5529000017 11058000034 16587000051 22116000068 33174000102 44232000136 66348000204 132696000408