Search a number
-
+
5460051456 = 2933394969
BaseRepresentation
bin1010001010111000…
…11100011000000000
3112002112001100112000
411011130130120000
542140233121311
62301443504000
7252206446236
oct50534343000
915075040460
105460051456
112352069522
121084688000
136902676a2
1439b218956
1521e52d056
hex14571c600

5460051456 has 80 divisors (see below), whose sum is σ = 16162172400. Its totient is φ = 1820012544.

The previous prime is 5460051439. The next prime is 5460051481. The reversal of 5460051456 is 6541500645.

5460051456 is a `hidden beast` number, since 5 + 4 + 600 + 5 + 1 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5460051456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183661 + ... + 211308.

It is an arithmetic number, because the mean of its divisors is an integer number (202027155).

Almost surely, 25460051456 is an apocalyptic number.

It is an amenable number.

5460051456 is an abundant number, since it is smaller than the sum of its proper divisors (10702120944).

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

5460051456 is an equidigital number, since it uses as much as digits as its factorization.

5460051456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394996 (or 394974 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5460051456 is about 73892.1609915423. The cubic root of 5460051456 is about 1760.8900732092.

The spelling of 5460051456 in words is "five billion, four hundred sixty million, fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 394969 789938 1184907 1579876 2369814 3159752 3554721 4739628 6319504 7109442 9479256 10664163 12639008 14218884 18958512 21328326 25278016 28437768 37917024 42656652 50556032 56875536 75834048 85313304 101112064 113751072 151668096 170626608 202224128 227502144 303336192 341253216 455004288 606672384 682506432 910008576 1365012864 1820017152 2730025728 5460051456