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774398064272 = 247422139109
BaseRepresentation
bin10110100010011011011…
…10001011011010010000
32202000212010120122120212
423101031232023122100
5100141431401024042
61351430434023252
7106643206640000
oct13211556133220
92660763518525
10774398064272
11279469578528
12106100417b28
1358043b1a491
14296a4090000
151522586d482
hexb44db8b690

774398064272 has 100 divisors (see below), whose sum is σ = 1751341327740. Its totient is φ = 331698495744.

The previous prime is 774398064263. The next prime is 774398064301. The reversal of 774398064272 is 272460893477.

It can be written as a sum of positive squares in 2 ways, for example, as 485775544576 + 288622519696 = 696976^2 + 537236^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85010054 + ... + 85019162.

Almost surely, 2774398064272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 774398064272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875670663870).

774398064272 is an abundant number, since it is smaller than the sum of its proper divisors (976943263468).

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

774398064272 is an equidigital number, since it uses as much as digits as its factorization.

774398064272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11358 (or 11331 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 59.

The spelling of 774398064272 in words is "seven hundred seventy-four billion, three hundred ninety-eight million, sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2213 2401 2744 4426 4802 5488 8852 9109 9604 15491 17704 18218 19208 30982 35408 36436 38416 61964 63763 72872 108437 123928 127526 145744 216874 247856 255052 433748 446341 510104 759059 867496 892682 1020208 1518118 1734992 1785364 3036236 3124387 3570728 5313413 6072472 6248774 7141456 10626826 12144944 12497548 20158217 21253652 21870709 24995096 40316434 42507304 43741418 49990192 80632868 85014608 87482836 141107519 161265736 174965672 282215038 322531472 349931344 564430076 987752633 1128860152 1975505266 2257720304 3951010532 6914268431 7902021064 13828536862 15804042128 27657073724 48399879017 55314147448 96799758034 110628294896 193599516068 387199032136 774398064272