Search a number
-
+
451780983192 = 233711379364453
BaseRepresentation
bin1101001001100000011…
…11101011100110011000
31121012010101121212021010
412210300033223212120
524400221412430232
6543313442213520
744432360665410
oct6446017534630
91535111555233
10451780983192
11164665650490
12736846542a0
13337ab370376
1417c1b259640
15bb427dc0cc
hex69303eb998

451780983192 has 128 divisors (see below), whose sum is σ = 1408541621760. Its totient is φ = 117312952320.

The previous prime is 451780983179. The next prime is 451780983319. The reversal of 451780983192 is 291389087154.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6977238 + ... + 7041690.

It is an arithmetic number, because the mean of its divisors is an integer number (11004231420).

Almost surely, 2451780983192 is an apocalyptic number.

451780983192 is a gapful number since it is divisible by the number (42) 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 451780983192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704270810880).

451780983192 is an abundant number, since it is smaller than the sum of its proper divisors (956760638568).

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

451780983192 is a wasteful number, since it uses less digits than its factorization.

451780983192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68273 (or 68269 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 451780983192 in words is "four hundred fifty-one billion, seven hundred eighty million, nine hundred eighty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 3793 7586 11379 15172 22758 26551 30344 41723 45516 53102 64453 79653 83446 91032 106204 125169 128906 159306 166892 193359 212408 250338 257812 292061 318612 333784 386718 451171 500676 515624 584122 637224 708983 773436 876183 902342 1001352 1168244 1353513 1417966 1546872 1752366 1804684 2126949 2336488 2707026 2835932 3504732 3609368 4253898 4962881 5414052 5671864 7009464 8507796 9925762 10828104 14888643 17015592 19851524 29777286 39703048 59554572 119109144 244470229 488940458 733410687 977880916 1466821374 1711291603 1955761832 2689172519 2933642748 3422583206 5133874809 5378345038 5867285496 6845166412 8067517557 10267749618 10756690076 13690332824 16135035114 18824207633 20535499236 21513380152 32270070228 37648415266 41070998472 56472622899 64540140456 75296830532 112945245798 150593661064 225890491596 451780983192