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132416477664 = 2531379338309
BaseRepresentation
bin111101101010010100…
…0110001100111100000
3110122210022222000210120
41323110220301213200
54132142104241124
6140455320400240
712365255326512
oct1732450614740
9418708860716
10132416477664
1151180716609
12217b6016080
13c64370c583
1465a23b7bb2
1536a0091d79
hex1ed4a319e0

132416477664 has 24 divisors (see below), whose sum is σ = 347593254120. Its totient is φ = 44138825856.

The previous prime is 132416477659. The next prime is 132416477701. The reversal of 132416477664 is 466774614231.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1324164776642 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 689669059 + ... + 689669250.

It is an arithmetic number, because the mean of its divisors is an integer number (14483052255).

Almost surely, 2132416477664 is an apocalyptic number.

It is an amenable number.

132416477664 is an abundant number, since it is smaller than the sum of its proper divisors (215176776456).

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

132416477664 is a wasteful number, since it uses less digits than its factorization.

132416477664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379338322 (or 1379338314 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The spelling of 132416477664 in words is "one hundred thirty-two billion, four hundred sixteen million, four hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1379338309 2758676618 4138014927 5517353236 8276029854 11034706472 16552059708 22069412944 33104119416 44138825888 66208238832 132416477664