Search a number
-
+
4285625696448 = 263311275669537
BaseRepresentation
bin111110010111010011001…
…100101000000011000000
3120011200221121211110011020
4332113103030220003000
51030203430134241243
613040442251545440
7621424541241105
oct76272314500300
916150847743136
104285625696448
111402583a85958
125926bb45b280
13251195903085
1410b5d53b2aac
157672b74b283
hex3e5d33280c0

4285625696448 has 112 divisors (see below), whose sum is σ = 11796993245184. Its totient is φ = 1371574149120.

The previous prime is 4285625696419. The next prime is 4285625696449. The reversal of 4285625696448 is 8446965265824.

It is a super-2 number, since 2×42856256964482 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4285625696449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2078865 + ... + 3590672.

It is an arithmetic number, because the mean of its divisors is an integer number (105330296832).

Almost surely, 24285625696448 is an apocalyptic number.

4285625696448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4285625696448 is an abundant number, since it is smaller than the sum of its proper divisors (7511367548736).

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

4285625696448 is a wasteful number, since it uses less digits than its factorization.

4285625696448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669710 (or 5669700 counting only the distinct ones).

The product of its digits is 796262400, while the sum is 69.

The spelling of 4285625696448 in words is "four trillion, two hundred eighty-five billion, six hundred twenty-five million, six hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 186 192 248 254 372 381 496 508 744 762 992 1016 1488 1524 1984 2032 2976 3048 3937 4064 5952 6096 7874 8128 11811 12192 15748 23622 24384 31496 47244 62992 94488 125984 188976 251968 377952 755904 5669537 11339074 17008611 22678148 34017222 45356296 68034444 90712592 136068888 175755647 181425184 272137776 351511294 362850368 527266941 544275552 703022588 720031199 1054533882 1088551104 1406045176 1440062398 2109067764 2160093597 2812090352 2880124796 4218135528 4320187194 5624180704 5760249592 8436271056 8640374388 11248361408 11520499184 16872542112 17280748776 22320967169 23040998368 33745084224 34561497552 44641934338 46081996736 66962901507 69122995104 89283868676 133925803014 138245990208 178567737352 267851606028 357135474704 535703212056 714270949408 1071406424112 1428541898816 2142812848224 4285625696448