Search a number
-
+
1425164603456 = 261117784115187
BaseRepresentation
bin10100101111010010011…
…011100001000001000000
312001020121011122002210002
4110233102123201001000
5141322214114302311
63010413411255132
7204651623152616
oct24572233410100
95036534562702
101425164603456
114aa4552a0330
121b02588aa4a8
13a4514283289
144cd9a79d6b6
15271124e893b
hex14bd26e1040

1425164603456 has 112 divisors (see below), whose sum is σ = 3267269047872. Its totient is φ = 609578188800.

The previous prime is 1425164603449. The next prime is 1425164603477. The reversal of 1425164603456 is 6543064615241.

It is a super-3 number, since 3×14251646034563 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1425164603456.

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, 93833495 + ... + 93848681.

Almost surely, 21425164603456 is an apocalyptic number.

1425164603456 is a gapful number since it is divisible by the number (16) 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 1425164603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633634523936).

1425164603456 is an abundant number, since it is smaller than the sum of its proper divisors (1842104444416).

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

1425164603456 is a wasteful number, since it uses less digits than its factorization.

1425164603456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23068 (or 23058 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 47.

The spelling of 1425164603456 in words is "one trillion, four hundred twenty-five billion, one hundred sixty-four million, six hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 7841 11968 15187 15682 30374 31364 60748 62728 86251 121496 125456 133297 167057 172502 242992 250912 258179 266594 334114 345004 485984 501824 516358 533188 668228 690008 971968 1032716 1066376 1336456 1380016 1466267 2065432 2132752 2672912 2760032 2839969 2932534 4130864 4265504 5345824 5520064 5679938 5865068 8261728 8531008 10691648 11359876 11730136 16523456 22719752 23460272 45439504 46920544 90879008 93841088 119081267 181758016 238162534 476325068 952650136 1309893937 1905300272 2024381539 2619787874 3810600544 4048763078 5239575748 7621201088 8097526156 10479151496 16195052312 20958302992 22268196929 32390104624 41916605984 44536393858 64780209248 83833211968 89072787716 129560418496 178145575432 356291150864 712582301728 1425164603456