Search a number
-
+
15303713048992 = 254750999720051
BaseRepresentation
bin1101111010110010110001…
…1000010100100110100000
32000012000120002000211122201
43132230230120110212200
54001214001020031432
652314232334142544
73136441163414614
oct336545430244640
960160502024581
1015303713048992
1149702a505a505
121871b66651a54
138701983905a4
143ac9bcbd3344
151b8140cb5ee7
hexdeb2c6149a0

15303713048992 has 96 divisors (see below), whose sum is σ = 30863146487040. Its totient is φ = 7466468582400.

The previous prime is 15303713048959. The next prime is 15303713049017. The reversal of 15303713048992 is 29984031730351.

It is a super-3 number, since 3×153037130489923 (a number of 41 digits) contains 333 as substring.

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, 763229367 + ... + 763249417.

It is an arithmetic number, because the mean of its divisors is an integer number (321491109240).

Almost surely, 215303713048992 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 15303713048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431573243520).

15303713048992 is an abundant number, since it is smaller than the sum of its proper divisors (15559433438048).

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

15303713048992 is a wasteful number, since it uses less digits than its factorization.

15303713048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21614 (or 21606 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 15303713048992 in words is "fifteen trillion, three hundred three billion, seven hundred thirteen million, forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 509 752 997 1018 1504 1994 2036 3988 4072 7976 8144 15952 16288 20051 23923 31904 40102 46859 47846 80204 93718 95692 160408 187436 191384 320816 374872 382768 507473 641632 749744 765536 942397 1014946 1499488 1884794 2029892 3769588 4059784 7539176 8119568 10205959 15078352 16239136 19990847 20411918 23851231 30156704 39981694 40823836 47702462 79963388 81647672 95404924 159926776 163295344 190809848 319853552 326590688 381619696 479680073 639707104 763239392 939569809 959360146 1879139618 1918720292 3758279236 3837440584 7516558472 7674881168 10175341123 15033116944 15349762336 20350682246 30066233888 40701364492 81402728984 162805457968 325610915936 478241032781 956482065562 1912964131124 3825928262248 7651856524496 15303713048992