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5445306256324 = 2211273214532
BaseRepresentation
bin100111100111101010110…
…0010111000101111000100
3201021120021202101210011111
41033033111202320233010
51203203441400200244
615325312243014404
71101260523326044
oct117172542705704
921246252353144
105445306256324
11180a383471900
1273b40606a404
1330664abc20ac
1414b7a8b39724
15969a18a0e34
hex4f3d58b8bc4

5445306256324 has 81 divisors (see below), whose sum is σ = 10627102633959. Its totient is φ = 2439553057920.

The previous prime is 5445306256309. The next prime is 5445306256339. The reversal of 5445306256324 is 4236526035445.

The square root of 5445306256324 is 2333518.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5445306256309) and next prime (5445306256339).

It can be written as a sum of positive squares in 4 ways, for example, as 2236765518724 + 3208540737600 = 1495582^2 + 1791240^2 .

It is a super-2 number, since 2×54453062563242 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3747629182 + ... + 3747630634.

Almost surely, 25445306256324 is an apocalyptic number.

5445306256324 is the 2333518-th square number.

It is an amenable number.

5445306256324 is a deficient number, since it is larger than the sum of its proper divisors (5181796377635).

5445306256324 is an equidigital number, since it uses as much as digits as its factorization.

5445306256324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 49.

Multiplying 5445306256324 by its sum of digits (49), we get a square (266820006559876 = 163346262).

The spelling of 5445306256324 in words is "five trillion, four hundred forty-five billion, three hundred six million, two hundred fifty-six thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 73 121 146 242 292 484 803 1453 1606 2906 3212 5329 5812 8833 10658 15983 17666 21316 31966 35332 58619 63932 106069 117238 175813 212138 234476 351626 424276 644809 703252 1166759 1289618 2111209 2333518 2579236 4222418 4667036 7743037 8444836 12834349 15486074 23223299 25668698 30972148 46446598 51337396 85173407 92893196 154118257 170346814 255456289 308236514 340693628 510912578 616473028 936907477 1021825156 1695300827 1873814954 3390601654 3747629908 6781203308 11250632761 18648309097 22501265522 37296618194 45002531044 74593236388 123756960371 247513920742 495027841484 1361326564081 2722653128162 5445306256324