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133747061472 = 2532743625033
BaseRepresentation
bin111110010001111110…
…0100011001011100000
3110210020001200200122100
41330203330203023200
54142403221431342
6141235331410400
712443243156553
oct1744374431340
9423201620570
10133747061472
11517a3802952
1221b07753a00
13c7c629517b
14668adba69a
15372bcc3e4c
hex1f23f232e0

133747061472 has 72 divisors (see below), whose sum is σ = 380855717424. Its totient is φ = 44522279424.

The previous prime is 133747061423. The next prime is 133747061501. The reversal of 133747061472 is 274160747331.

It is a happy number.

133747061472 is a `hidden beast` number, since 1 + 3 + 37 + 470 + 6 + 147 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 98533 + ... + 526500.

It is an arithmetic number, because the mean of its divisors is an integer number (5289662742).

Almost surely, 2133747061472 is an apocalyptic number.

133747061472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133747061472 is an abundant number, since it is smaller than the sum of its proper divisors (247108655952).

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

133747061472 is a wasteful number, since it uses less digits than its factorization.

133747061472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625792 (or 625781 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 133747061472 in words is "one hundred thirty-three billion, seven hundred forty-seven million, sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 743 1486 2229 2972 4458 5944 6687 8916 11888 13374 17832 23776 26748 35664 53496 71328 106992 213984 625033 1250066 1875099 2500132 3750198 5000264 5625297 7500396 10000528 11250594 15000792 20001056 22501188 30001584 45002376 60003168 90004752 180009504 464399519 928799038 1393198557 1857598076 2786397114 3715196152 4179595671 5572794228 7430392304 8359191342 11145588456 14860784608 16718382684 22291176912 33436765368 44582353824 66873530736 133747061472