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14772970242 = 2332337563571
BaseRepresentation
bin11011100001000100…
…11010001100000010
31102010112221122102000
431300202122030002
5220223340021432
610441524004430
71032042114042
oct156042321402
942115848360
1014772970242
1162a0a58218
122a43530716
1315157b9a14
14a02007722
155b6e1b57c
hex37089a302

14772970242 has 128 divisors (see below), whose sum is σ = 35306219520. Its totient is φ = 4566767040.

The previous prime is 14772970241. The next prime is 14772970253. The reversal of 14772970242 is 24207927741.

It is not an unprimeable number, because it can be changed into a prime (14772970241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25871817 + ... + 25872387.

It is an arithmetic number, because the mean of its divisors is an integer number (275829840).

Almost surely, 214772970242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14772970242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17653109760).

14772970242 is an abundant number, since it is smaller than the sum of its proper divisors (20533249278).

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

14772970242 is a wasteful number, since it uses less digits than its factorization.

14772970242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 14772970242 in words is "fourteen billion, seven hundred seventy-two million, nine hundred seventy thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 111 138 207 222 333 414 563 571 621 666 851 999 1126 1142 1242 1689 1702 1713 1998 2553 3378 3426 5067 5106 5139 7659 10134 10278 12949 13133 15201 15318 15417 20831 21127 22977 25898 26266 30402 30834 38847 39399 41662 42254 45954 62493 63381 77694 78798 116541 118197 124986 126762 187479 190143 233082 236394 321473 349623 354591 374958 380286 479113 485921 562437 570429 642946 699246 709182 958226 964419 971842 1124874 1140858 1437339 1457763 1928838 2874678 2893257 2915526 4312017 4373289 5786514 7393879 8624034 8679771 8746578 11894501 12936051 13119867 14787758 17359542 22181637 23789002 25872102 26239734 35683503 44363274 66544911 71367006 107050509 133089822 199634733 214101018 273573523 321151527 399269466 547147046 642303054 820720569 1641441138 2462161707 4924323414 7386485121 14772970242