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14996930652 = 2235113494019
BaseRepresentation
bin11011111011110001…
…10000000001011100
31102201011101000100000
431331320300001130
5221203203240102
610520044134300
71040431543614
oct157570600134
942634330300
1014996930652
1163a6415a70
122aa6537390
131550012c82
14a23a65a44
155cb90a01c
hex37de3005c

14996930652 has 144 divisors (see below), whose sum is σ = 43020432000. Its totient is φ = 4530375360.

The previous prime is 14996930633. The next prime is 14996930699. The reversal of 14996930652 is 25603969941.

14996930652 is a `hidden beast` number, since 1 + 499 + 6 + 93 + 0 + 65 + 2 = 666.

14996930652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3729499 + ... + 3733517.

It is an arithmetic number, because the mean of its divisors is an integer number (298753000).

Almost surely, 214996930652 is an apocalyptic number.

14996930652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14996930652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21510216000).

14996930652 is an abundant number, since it is smaller than the sum of its proper divisors (28023501348).

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

14996930652 is a wasteful number, since it uses less digits than its factorization.

14996930652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 14996930652 in words is "fourteen billion, nine hundred ninety-six million, nine hundred thirty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 349 396 486 594 698 891 972 1047 1188 1396 1782 2094 2673 3141 3564 3839 4019 4188 5346 6282 7678 8038 9423 10692 11517 12057 12564 15356 16076 18846 23034 24114 28269 34551 36171 37692 44209 46068 48228 56538 69102 72342 84807 88418 103653 108513 113076 132627 138204 144684 169614 176836 207306 217026 265254 310959 325539 339228 397881 414612 434052 530508 621918 651078 795762 932877 976617 1193643 1243836 1302156 1402631 1591524 1865754 1953234 2387286 2805262 3580929 3731508 3906468 4207893 4774572 5610524 7161858 8415786 10742787 12623679 14323716 15428941 16831572 21485574 25247358 30857882 37871037 42971148 46286823 50494716 61715764 75742074 92573646 113613111 138860469 151484148 185147292 227226222 277720938 340839333 416581407 454452444 555441876 681678666 833162814 1249744221 1363357332 1666325628 2499488442 3749232663 4998976884 7498465326 14996930652