Search a number
-
+
478022832128 = 21210110710799
BaseRepresentation
bin1101111010011000110…
…00011001000000000000
31200200212020021220120002
412331030120121000000
530312442321112003
61003333424135132
746351565013542
oct6751430310000
91620766256502
10478022832128
11174801476a46
1278788a674a8
1336100c6132a
14191ca507692
15c67b514a88
hex6f4c619000

478022832128 has 104 divisors (see below), whose sum is σ = 974506204800. Its totient is φ = 234411622400.

The previous prime is 478022832121. The next prime is 478022832211. The reversal of 478022832128 is 821238220874.

It is not an unprimeable number, because it can be changed into a prime (478022832121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44260073 + ... + 44270871.

Almost surely, 2478022832128 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 478022832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487253102400).

478022832128 is an abundant number, since it is smaller than the sum of its proper divisors (496483372672).

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

478022832128 is a wasteful number, since it uses less digits than its factorization.

478022832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11031 (or 11009 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The spelling of 478022832128 in words is "four hundred seventy-eight billion, twenty-two million, eight hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 101 107 128 202 214 256 404 428 512 808 856 1024 1616 1712 2048 3232 3424 4096 6464 6848 10799 10807 12928 13696 21598 21614 25856 27392 43196 43228 51712 54784 86392 86456 103424 109568 172784 172912 206848 219136 345568 345824 413696 438272 691136 691648 1090699 1155493 1382272 1383296 2181398 2310986 2764544 2766592 4362796 4621972 5529088 5533184 8725592 9243944 11058176 11066368 17451184 18487888 22116352 22132736 34902368 36975776 44232704 44265472 69804736 73951552 116704793 139609472 147903104 233409586 279218944 295806208 466819172 558437888 591612416 933638344 1116875776 1183224832 1867276688 2233751552 2366449664 3734553376 4467503104 4732899328 7469106752 14938213504 29876427008 59752854016 119505708032 239011416064 478022832128