Search a number
-
+
16753446650912 = 251929258755817
BaseRepresentation
bin1111001111001011011100…
…1111001000010000100000
32012022121120111120101021212
43303302313033020100200
54143442024320312122
655344232132405252
73346253011620626
oct363626717102040
965277514511255
1016753446650912
11537a107966a44
121a66b1b476828
13946ac67a297a
1441cc2a5c5516
151e0be01e7ce2
hexf3cb73c8420

16753446650912 has 144 divisors (see below), whose sum is σ = 36019717100640. Its totient is φ = 7649003206656.

The previous prime is 16753446650909. The next prime is 16753446650933. The reversal of 16753446650912 is 21905664435761.

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, 300121628 + ... + 300177444.

It is an arithmetic number, because the mean of its divisors is an integer number (250136924310).

Almost surely, 216753446650912 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 16753446650912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009858550320).

16753446650912 is an abundant number, since it is smaller than the sum of its proper divisors (19266270449728).

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

16753446650912 is a wasteful number, since it uses less digits than its factorization.

16753446650912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56491 (or 56454 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 59.

The spelling of 16753446650912 in words is "sixteen trillion, seven hundred fifty-three billion, four hundred forty-six million, six hundred fifty thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 587 608 841 928 1102 1174 1682 2204 2348 3364 4408 4696 6728 8816 9392 11153 13456 15979 17023 17632 18784 22306 26912 31958 34046 44612 55817 63916 68092 89224 111634 127832 136184 178448 223268 255664 272368 323437 356896 446536 493667 511328 544736 646874 893072 987334 1060523 1293748 1618693 1786144 1974668 2121046 2587496 3237386 3949336 4242092 5174992 6474772 7898672 8484184 9379673 10349984 12949544 15797344 16968368 18759346 25899088 30755167 32764579 33936736 37518692 46942097 51798176 61510334 65529158 75037384 93884194 123020668 131058316 150074768 187768388 246041336 262116632 300149536 375536776 492082672 524233264 622527001 751073552 891899843 950172791 984165344 1048466528 1245054002 1502147104 1783799686 1900345582 2490108004 3567599372 3800691164 4980216008 7135198744 7601382328 9960432016 14270397488 15202764656 18053283029 19920864032 27555010939 28540794976 30405529312 36106566058 55110021878 72213132116 110220043756 144426264232 220440087512 288852528464 440880175024 523545207841 577705056928 881760350048 1047090415682 2094180831364 4188361662728 8376723325456 16753446650912