Search a number
-
+
5272061426415 = 325726416435801
BaseRepresentation
bin100110010110111111101…
…0110010011101011101111
3200200000010000200120012200
41030231333112103223233
51142334140211121130
615113541313032543
71052615411505300
oct114557726235357
920600100616180
105272061426415
111752961261a23
12711916855753
132c31cb931414
141432521687a7
159221224e760
hex4cb7f593aef

5272061426415 has 144 divisors (see below), whose sum is σ = 10665177266016. Its totient is φ = 2402168832000.

The previous prime is 5272061426399. The next prime is 5272061426453. The reversal of 5272061426415 is 5146241602725.

5272061426415 is a `hidden beast` number, since 5 + 2 + 7 + 2 + 0 + 614 + 26 + 4 + 1 + 5 = 666.

It is not a de Polignac number, because 5272061426415 - 24 = 5272061426399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 908816515 + ... + 908822315.

It is an arithmetic number, because the mean of its divisors is an integer number (74063731014).

Almost surely, 25272061426415 is an apocalyptic number.

5272061426415 is an abundant number, since it is smaller than the sum of its proper divisors (5393115839601).

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

5272061426415 is a wasteful number, since it uses less digits than its factorization.

5272061426415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7110 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5272061426415 in words is "five trillion, two hundred seventy-two billion, sixty-one million, four hundred twenty-six thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 641 643 735 1923 1929 2205 3205 3215 4487 4501 5769 5787 5801 9615 9645 13461 13503 17403 22435 22505 28845 28935 29005 31409 31507 40383 40509 40607 52209 67305 67515 87015 94227 94521 121821 157045 157535 201915 202545 203035 261045 282681 283563 284249 365463 412163 471135 472605 609105 852747 1236489 1413405 1417815 1421245 1827315 2060815 2558241 2885141 3709467 3718441 3730043 4263735 6182445 8655423 11155323 11190129 12791205 14425705 18547335 18592205 18650215 20195987 25966269 26029087 26110301 33465969 33570387 43277115 55776615 55950645 60587961 78087261 78330903 100979935 129831345 130145435 130551505 167329845 167851935 181763883 182203609 182772107 234261783 234992709 302939805 390436305 391654515 546610827 548316321 908819415 911018045 913860535 1171308915 1174963545 1639832481 1644948963 2390957563 2733054135 2741581605 7172872689 8199162405 8224744815 11954787815 16736702941 21518618067 35864363445 50210108823 83683514705 107593090335 117156920587 150630326469 251050544115 351470761761 585784602935 753151632345 1054412285283 1757353808805 5272061426415