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14973292908 = 2234746114321
BaseRepresentation
bin11011111000111101…
…00101000101101100
31102122111220002110000
431330132211011230
5221131130333113
610513441344300
71040023614120
oct157436450554
942574802400
1014973292908
116394040642
122a9a638090
131548157b42
14a20871580
155c97db373
hex37c7a516c

14973292908 has 120 divisors (see below), whose sum is σ = 44835192864. Its totient is φ = 4268505600.

The previous prime is 14973292907. The next prime is 14973292909. The reversal of 14973292908 is 80929237941.

It is an interprime number because it is at equal distance from previous prime (14973292907) and next prime (14973292909).

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

It is not an unprimeable number, because it can be changed into a prime (14973292907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1038388 + ... + 1052708.

Almost surely, 214973292908 is an apocalyptic number.

14973292908 is a gapful number since it is divisible by the number (18) 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 14973292908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417596432).

14973292908 is an abundant number, since it is smaller than the sum of its proper divisors (29861899956).

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

14973292908 is a wasteful number, since it uses less digits than its factorization.

14973292908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14805 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 14973292908 in words is "fourteen billion, nine hundred seventy-three million, two hundred ninety-two thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 461 567 756 922 1134 1383 1844 2268 2766 3227 4149 5532 6454 8298 9681 12447 12908 14321 16596 19362 24894 28642 29043 37341 38724 42963 49788 57284 58086 74682 85926 87129 100247 116172 128889 149364 171852 174258 200494 257778 261387 300741 348516 386667 400988 515556 522774 601482 773334 902223 1045548 1160001 1202964 1546668 1804446 2320002 2706669 3608892 4640004 5413338 6601981 8120007 10826676 13203962 16240014 19805943 26407924 32480028 39611886 46213867 59417829 79223772 92427734 118835658 138641601 178253487 184855468 237671316 277283202 356506974 415924803 534760461 554566404 713013948 831849606 1069520922 1247774409 1663699212 2139041844 2495548818 3743323227 4991097636 7486646454 14973292908