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4273828520976 = 243272246112
BaseRepresentation
bin111110001100010100000…
…001111110010000010000
3120010120111110100211202100
4332030110001332100100
51030010300100132401
613031211505320400
7620526312014400
oct76142401762020
916116443324670
104273828520976
1113a857a866363
12590368636100
132500357a4381
1410abd66b0800
157628abe1b86
hex3e31407e410

4273828520976 has 135 divisors (see below), whose sum is σ = 13914130406943. Its totient is φ = 1221044247360.

The previous prime is 4273828520963. The next prime is 4273828521041. The reversal of 4273828520976 is 6790258283724.

The square root of 4273828520976 is 2067324.

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

4273828520976 is a `hidden beast` number, since 4 + 2 + 7 + 38 + 2 + 8 + 520 + 9 + 76 = 666.

It is a super-2 number, since 2×42738285209762 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 173642911 + ... + 173667521.

Almost surely, 24273828520976 is an apocalyptic number.

4273828520976 is the 2067324-th square number.

It is an amenable number.

4273828520976 is an abundant number, since it is smaller than the sum of its proper divisors (9640301885967).

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

4273828520976 is an frugal number, since it uses more digits than its factorization.

4273828520976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49250 (or 24623 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 4273828520976 in words is "four trillion, two hundred seventy-three billion, eight hundred twenty-eight million, five hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 24611 49222 73833 98444 147666 172277 196888 221499 295332 344554 393776 442998 516831 590664 689108 885996 1033662 1181328 1205939 1378216 1550493 1771992 2067324 2411878 2756432 3100986 3543984 3617817 4134648 4823756 6201972 7235634 8269296 9647512 10853451 12403944 14471268 19295024 21706902 24807888 28942536 43413804 57885072 86827608 173655216 605701321 1211402642 1817103963 2422805284 3634207926 4239909247 4845610568 5451311889 7268415852 8479818494 9691221136 10902623778 12719727741 14536831704 16959636988 21805247556 25439455482 29073663408 29679364729 33919273976 38159183223 43610495112 50878910964 59358729458 67838547952 76318366446 87220990224 89038094187 101757821928 118717458916 152636732892 178076188374 203515643856 237434917832 267114282561 305273465784 356152376748 474869835664 534228565122 610546931568 712304753496 1068457130244 1424609506992 2136914260488 4273828520976