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14997079152 = 2433116594789
BaseRepresentation
bin11011111011110010…
…10100010001110000
31102201011122120001000
431331321110101300
5221203223013102
610520051242000
71040433032556
oct157571242160
942634576030
1014997079152
1163a65075a0
122aa65a9300
131550065743
14a23aa3bd6
155cb93901c
hex37de54470

14997079152 has 160 divisors (see below), whose sum is σ = 47041632000. Its totient is φ = 4536725760.

The previous prime is 14997079151. The next prime is 14997079199. The reversal of 14997079152 is 25197079941.

14997079152 is a `hidden beast` number, since 1 + 499 + 70 + 79 + 15 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14997079151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3129174 + ... + 3133962.

It is an arithmetic number, because the mean of its divisors is an integer number (294010200).

Almost surely, 214997079152 is an apocalyptic number.

14997079152 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 14997079152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520816000).

14997079152 is an abundant number, since it is smaller than the sum of its proper divisors (32044552848).

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

14997079152 is a wasteful number, since it uses less digits than its factorization.

14997079152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 14997079152 in words is "fourteen billion, nine hundred ninety-seven million, seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 659 792 1188 1318 1584 1977 2376 2636 3954 4752 4789 5272 5931 7249 7908 9578 10544 11862 14367 14498 15816 17793 19156 21747 23724 28734 28996 31632 35586 38312 43101 43494 47448 52679 57468 57992 65241 71172 76624 86202 86988 94896 105358 114936 115984 129303 130482 142344 158037 172404 173976 195723 210716 229872 258606 260964 284688 316074 344808 347952 391446 421432 474111 517212 521928 632148 689616 782892 842864 948222 1034424 1043856 1264296 1422333 1565784 1896444 2068848 2528592 2844666 3131568 3155951 3792888 5689332 6311902 7585776 9467853 11378664 12623804 18935706 22757328 25247608 28403559 34715461 37871412 50495216 56807118 69430922 75742824 85210677 104146383 113614236 138861844 151485648 170421354 208292766 227228472 277723688 312439149 340842708 416585532 454456944 555447376 624878298 681685416 833171064 937317447 1249756596 1363370832 1666342128 1874634894 2499513192 3749269788 4999026384 7498539576 14997079152