Search a number
-
+
45223643648 = 292347101809
BaseRepresentation
bin101010000111100010…
…100000101000000000
311022201201021010110202
4222013202200220000
51220104223044043
632435255344332
73160453425401
oct520742405000
9138651233422
1045223643648
11181a7627907
1289213820a8
134359356171
1422902479a8
15129a3b81b8
hexa878a0a00

45223643648 has 160 divisors (see below), whose sum is σ = 97367339520. Its totient is φ = 20933017600.

The previous prime is 45223643639. The next prime is 45223643657. The reversal of 45223643648 is 84634632254.

It is an interprime number because it is at equal distance from previous prime (45223643639) and next prime (45223643657).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55900268 + ... + 55901076.

It is an arithmetic number, because the mean of its divisors is an integer number (608545872).

Almost surely, 245223643648 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 45223643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48683669760).

45223643648 is an abundant number, since it is smaller than the sum of its proper divisors (52143695872).

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

45223643648 is a wasteful number, since it uses less digits than its factorization.

45223643648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 982 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 47.

The spelling of 45223643648 in words is "forty-five billion, two hundred twenty-three million, six hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 101 128 184 188 202 256 368 376 404 512 736 752 808 809 1081 1472 1504 1616 1618 2162 2323 2944 3008 3232 3236 4324 4646 4747 5888 6016 6464 6472 8648 9292 9494 11776 12032 12928 12944 17296 18584 18607 18988 24064 25856 25888 34592 37168 37214 37976 38023 51712 51776 69184 74336 74428 75952 76046 81709 103552 109181 138368 148672 148856 151904 152092 163418 207104 218362 276736 297344 297712 303808 304184 326836 414208 436724 553472 594688 595424 607616 608368 653672 873448 874529 1189376 1190848 1215232 1216736 1307344 1746896 1749058 1879307 2381696 2430464 2433472 2614688 3493792 3498116 3758614 3840323 4763392 4866944 5229376 6987584 6996232 7517228 7680646 9526784 9733888 10458752 13975168 13992464 15034456 15361292 19467776 20917504 27950336 27984928 30068912 30722584 41835008 55900672 55969856 60137824 61445168 88327429 111939712 120275648 122890336 176654858 223879424 240551296 245780672 353309716 447758848 481102592 491561344 706619432 962205184 983122688 1413238864 1966245376 2826477728 5652955456 11305910912 22611821824 45223643648