Search a number
-
+
45546767376 = 243111732412069
BaseRepresentation
bin101010011010110011…
…001000010000010000
311100120020021111220020
4222122303020100100
51221234433024001
632531321143440
73201456064155
oct523263102020
9140506244806
1045546767376
1118352a65510
1289b162ab80
1343ab28c136
1422c111a22c
1512b8943736
hexa9acc8410

45546767376 has 160 divisors (see below), whose sum is σ = 129699377280. Its totient is φ = 13658726400.

The previous prime is 45546767333. The next prime is 45546767401. The reversal of 45546767376 is 67376764554.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22012870 + ... + 22014938.

It is an arithmetic number, because the mean of its divisors is an integer number (810621108).

Almost surely, 245546767376 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 45546767376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64849688640).

45546767376 is an abundant number, since it is smaller than the sum of its proper divisors (84152609904).

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

45546767376 is a wasteful number, since it uses less digits than its factorization.

45546767376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2499 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 60.

The spelling of 45546767376 in words is "forty-five billion, five hundred forty-six million, seven hundred sixty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 173 176 241 264 346 482 519 528 692 723 964 1038 1384 1446 1903 1928 2069 2076 2651 2768 2892 3806 3856 4138 4152 5302 5709 5784 6207 7612 7953 8276 8304 10604 11418 11568 12414 15224 15906 16552 21208 22759 22836 24828 30448 31812 33104 41693 42416 45518 45672 49656 63624 68277 83386 91036 91344 99312 125079 127248 136554 166772 182072 250158 273108 333544 357937 364144 458623 498629 500316 546216 667088 715874 917246 997258 1000632 1073811 1092432 1375869 1431748 1495887 1834492 1994516 2001264 2147622 2751738 2863496 2991774 3668984 3937307 3989032 4295244 5484919 5503476 5726992 5983548 7337968 7874614 7978064 8590488 10969838 11006952 11811921 11967096 15749228 16454757 17180976 21939676 22013904 23623842 23934192 31498456 32909514 43879352 47247684 62996912 65819028 86262817 87758704 94495368 131638056 172525634 188990736 258788451 263276112 345051268 517576902 690102536 948890987 1035153804 1380205072 1897781974 2070307608 2846672961 3795563948 4140615216 5693345922 7591127896 11386691844 15182255792 22773383688 45546767376