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15253030025664 = 2631012293434773
BaseRepresentation
bin1101110111110101111101…
…1011111011100111000000
32000000011201212222111011120
43131331133123323213000
53444401201141310124
652235051213112240
73132665206005324
oct335753733734700
960004655874146
1015253030025664
114950856892972
121864180a88680
1386847bc76762
143aa3718a7984
151b6b764a3d79
hexddf5f6fb9c0

15253030025664 has 112 divisors (see below), whose sum is σ = 40934537404320. Its totient is φ = 5012019302400.

The previous prime is 15253030025621. The next prime is 15253030025749. The reversal of 15253030025664 is 46652003035251.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2723382 + ... + 6158154.

It is an arithmetic number, because the mean of its divisors is an integer number (365486941110).

Almost surely, 215253030025664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15253030025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20467268702160).

15253030025664 is an abundant number, since it is smaller than the sum of its proper divisors (25681507378656).

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

15253030025664 is a wasteful number, since it uses less digits than its factorization.

15253030025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435118 (or 3435108 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 15253030025664 in words is "fifteen trillion, two hundred fifty-three billion, thirty million, twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 229 303 404 458 606 687 808 916 1212 1374 1616 1832 2424 2748 3232 3664 4848 5496 6464 7328 9696 10992 14656 19392 21984 23129 43968 46258 69387 92516 138774 185032 277548 370064 555096 740128 1110192 1480256 2220384 3434773 4440768 6869546 10304319 13739092 20608638 27478184 41217276 54956368 82434552 109912736 164869104 219825472 329738208 346912073 659476416 693824146 786563017 1040736219 1387648292 1573126034 2081472438 2359689051 2775296584 3146252068 4162944876 4719378102 5550593168 6292504136 8325889752 9438756204 11101186336 12585008272 16651779504 18877512408 22202372672 25170016544 33303559008 37755024816 50340033088 66607118016 75510049632 79442864717 151020099264 158885729434 238328594151 317771458868 476657188302 635542917736 953314376604 1271085835472 1906628753208 2542171670944 3813257506416 5084343341888 7626515012832 15253030025664