Search a number
-
+
1449532751664 = 2431923311096151
BaseRepresentation
bin10101000101111110111…
…000100111111100110000
312010120111102121021212210
4111011332320213330300
5142222120341023124
63025523421252120
7206503526044524
oct25057670477460
95116442537783
101449532751664
1150981a4a3798
121b4b19704040
13a68c891b09a
145022cc6bd84
1527a8b9aaa29
hex1517ee27f30

1449532751664 has 160 divisors (see below), whose sum is σ = 3962842790400. Its totient is φ = 455297587200.

The previous prime is 1449532751647. The next prime is 1449532751669. The reversal of 1449532751664 is 4661572359441.

It is a super-2 number, since 2×14495327516642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1449532751669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235654989 + ... + 235661139.

It is an arithmetic number, because the mean of its divisors is an integer number (24767767440).

Almost surely, 21449532751664 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 1449532751664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981421395200).

1449532751664 is an abundant number, since it is smaller than the sum of its proper divisors (2513310038736).

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

1449532751664 is a wasteful number, since it uses less digits than its factorization.

1449532751664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7517 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 1449532751664 in words is "one trillion, four hundred forty-nine billion, five hundred thirty-two million, seven hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 233 304 456 466 699 912 932 1109 1398 1864 2218 2796 3327 3728 4427 4436 5592 6151 6654 8854 8872 11184 12302 13281 13308 17708 17744 18453 21071 24604 26562 26616 35416 36906 42142 49208 53124 53232 63213 70832 73812 84284 98416 106248 116869 126426 147624 168568 212496 233738 252852 258397 295248 337136 350607 467476 505704 516794 701214 775191 934952 1011408 1033588 1402428 1433183 1550382 1869904 2067176 2804856 2866366 3100764 4134352 4299549 4909543 5609712 5732732 6201528 6821459 8599098 9819086 11465464 12403056 13642918 14728629 17198196 19638172 20464377 22930928 27230477 27285836 29457258 34396392 39276344 40928754 54460954 54571672 58914516 68792784 78552688 81691431 81857508 108921908 109143344 117829032 129607721 163382862 163715016 217843816 235658064 259215442 326765724 327430032 388823163 435687632 518430884 653531448 777646326 1036861768 1307062896 1555292652 1589399947 2073723536 3110585304 3178799894 4768199841 6221170608 6357599788 9536399682 12715199576 19072799364 25430399152 30198598993 38145598728 60397197986 76291197456 90595796979 120794395972 181191593958 241588791944 362383187916 483177583888 724766375832 1449532751664