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133654490491872 = 2537792517602669
BaseRepresentation
bin11110011000111011011100…
…011011011010101111100000
3122112020020121020121102010210
4132120323130123122233200
5120004243344031214442
61152132005244054120
740103134604306430
oct3630733433325740
9575206536542123
10133654490491872
113964a607576559
1212ba7176534340
135976744c0a08c
142500caa1bc2c0
15106b9d786119c
hex798edc6dabe0

133654490491872 has 96 divisors (see below), whose sum is σ = 406038958617600. Its totient is φ = 37703617555968.

The previous prime is 133654490491817. The next prime is 133654490491883. The reversal of 133654490491872 is 278194094456331.

133654490491872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258748247 + ... + 1258854422.

It is an arithmetic number, because the mean of its divisors is an integer number (4229572485600).

It is a 1-persistent number, because it is pandigital, but 2⋅133654490491872 = 267308980983744 is not.

Almost surely, 2133654490491872 is an apocalyptic number.

133654490491872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133654490491872 is an abundant number, since it is smaller than the sum of its proper divisors (272384468125728).

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

133654490491872 is a wasteful number, since it uses less digits than its factorization.

133654490491872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517602768 (or 2517602760 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 133654490491872 in words is "one hundred thirty-three trillion, six hundred fifty-four billion, four hundred ninety million, four hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1659 1896 2212 2528 3318 3792 4424 6636 7584 8848 13272 17696 26544 53088 2517602669 5035205338 7552808007 10070410676 15105616014 17623218683 20140821352 30211232028 35246437366 40281642704 52869656049 60422464056 70492874732 80563285408 105739312098 120844928112 140985749464 198890610851 211478624196 241689856224 281971498928 397781221702 422957248392 563942997856 596671832553 795562443404 845914496784 1193343665106 1392234275957 1591124886808 1691828993568 2386687330212 2784468551914 3182249773616 4176702827871 4773374660424 5568937103828 6364499547232 8353405655742 9546749320848 11137874207656 16706811311484 19093498641696 22275748415312 33413622622968 44551496830624 66827245245936 133654490491872