Search a number
-
+
428756543707360 = 255111731408159957
BaseRepresentation
bin110000101111100111010100…
…1011110111001100011100000
32002020002201120201120100222111
41201133032221132321203200
5422144221400142113420
64115520011554245104
7156211431564254011
oct14137165136714340
92066081521510874
10428756543707360
111146846a1298820
1240107a82b86794
131553175124757b
1477c3cdac7b008
153487e1d0ad45a
hex185f3a97b98e0

428756543707360 has 96 divisors (see below), whose sum is σ = 1111409961090912. Its totient is φ = 155010247956480.

The previous prime is 428756543707351. The next prime is 428756543707379. The reversal of 428756543707360 is 63707345657824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703775499 + ... + 704384458.

It is an arithmetic number, because the mean of its divisors is an integer number (11577187094697).

Almost surely, 2428756543707360 is an apocalyptic number.

428756543707360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428756543707360 is an abundant number, since it is smaller than the sum of its proper divisors (682653417383552).

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

428756543707360 is a wasteful number, since it uses less digits than its factorization.

428756543707360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408160156 (or 1408160148 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 67.

The spelling of 428756543707360 in words is "four hundred twenty-eight trillion, seven hundred fifty-six billion, five hundred forty-three million, seven hundred seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 173 176 220 346 352 440 692 865 880 1384 1730 1760 1903 2768 3460 3806 5536 6920 7612 9515 13840 15224 19030 27680 30448 38060 60896 76120 152240 304480 1408159957 2816319914 5632639828 7040799785 11265279656 14081599570 15489759527 22530559312 28163199140 30979519054 45061118624 56326398280 61959038108 77448797635 112652796560 123918076216 154897595270 225305593120 243611672561 247836152432 309795190540 487223345122 495672304864 619590381080 974446690244 1218058362805 1239180762160 1948893380488 2436116725610 2478361524320 2679728398171 3897786760976 4872233451220 5359456796342 7795573521952 9744466902440 10718913592684 13398641990855 19488933804880 21437827185368 26797283981710 38977867609760 42875654370736 53594567963420 85751308741472 107189135926840 214378271853680 428756543707360