Search a number
-
+
15238242647408 = 2411267679117299
BaseRepresentation
bin1101110110111110111000…
…0010100011110101110000
31222221202120022220211200102
43131233232002203311300
53444130410104204113
652224204012211532
73131632600242344
oct335575602436560
958852508824612
1015238242647408
114945558794800
121861334769ba8
13866c634b39b1
143a976b9cd624
151b65ad18d758
hexddbee0a3d70

15238242647408 has 120 divisors (see below), whose sum is σ = 32943218582400. Its totient is φ = 6821694633600.

The previous prime is 15238242647363. The next prime is 15238242647477. The reversal of 15238242647408 is 80474624283251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880865543 + ... + 880882841.

It is an arithmetic number, because the mean of its divisors is an integer number (274526821520).

Almost surely, 215238242647408 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 15238242647408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16471609291200).

15238242647408 is an abundant number, since it is smaller than the sum of its proper divisors (17704975934992).

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

15238242647408 is a wasteful number, since it uses less digits than its factorization.

15238242647408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24187 (or 24170 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 56.

The spelling of 15238242647408 in words is "fifteen trillion, two hundred thirty-eight billion, two hundred forty-two million, six hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 44 67 88 121 134 176 242 268 484 536 737 968 1072 1474 1936 2948 5896 6791 8107 11792 13582 16214 17299 27164 32428 34598 54328 64856 69196 74701 108656 129712 138392 149402 190289 276784 298804 380578 454997 597608 761156 821711 909994 1159033 1195216 1522312 1643422 1819988 2093179 2318066 3044624 3286844 3639976 4186358 4636132 5004967 6573688 7279952 8372716 9272264 10009934 12749363 13147376 16745432 18544528 20019868 25498726 33490864 40039736 50997452 55054637 80079472 101994904 110109274 117477509 140242993 203989808 220218548 234955018 280485986 440437096 469910036 560971972 880874192 939820072 1121943944 1292252599 1879640144 2243887888 2584505198 5169010396 7870993103 10338020792 14214778589 15741986206 20676041584 28429557178 31483972412 56859114356 62967944824 86580924133 113718228712 125935889648 173161848266 227436457424 346323696532 692647393064 952390165463 1385294786128 1904780330926 3809560661852 7619121323704 15238242647408