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5427121824 = 25345633719
BaseRepresentation
bin1010000110111101…
…10100111010100000
3112000020002100120000
411003132310322200
542103320344244
62254310020000
7251326526415
oct50336647240
915006070500
105427121824
112335517a53
121075647600
136864a80b7
14396ac610c
1521b6c6169
hex1437b4ea0

5427121824 has 120 divisors (see below), whose sum is σ = 15993663840. Its totient is φ = 1805341824.

The previous prime is 5427121823. The next prime is 5427121849. The reversal of 5427121824 is 4281217245.

5427121824 is a `hidden beast` number, since 542 + 71 + 21 + 8 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5427121823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1457437 + ... + 1461155.

It is an arithmetic number, because the mean of its divisors is an integer number (133280532).

Almost surely, 25427121824 is an apocalyptic number.

5427121824 is a gapful number since it is divisible by the number (54) 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 5427121824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7996831920).

5427121824 is an abundant number, since it is smaller than the sum of its proper divisors (10566542016).

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

5427121824 is a wasteful number, since it uses less digits than its factorization.

5427121824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4287 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 5427121824 is about 73669.0017850113. The cubic root of 5427121824 is about 1757.3429500700.

The spelling of 5427121824 in words is "five billion, four hundred twenty-seven million, one hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 563 648 864 1126 1296 1689 2252 2592 3378 3719 4504 5067 6756 7438 9008 10134 11157 13512 14876 15201 18016 20268 22314 27024 29752 30402 33471 40536 44628 45603 54048 59504 60804 66942 81072 89256 91206 100413 119008 121608 133884 162144 178512 182412 200826 243216 267768 301239 357024 364824 401652 486432 535536 602478 729648 803304 1071072 1204956 1459296 1606608 2093797 2409912 3213216 4187594 4819824 6281391 8375188 9639648 12562782 16750376 18844173 25125564 33500752 37688346 50251128 56532519 67001504 75376692 100502256 113065038 150753384 169597557 201004512 226130076 301506768 339195114 452260152 603013536 678390228 904520304 1356780456 1809040608 2713560912 5427121824