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1228873501056 = 2734183940403
BaseRepresentation
bin10001111000011110100…
…100011000100110000000
311100110221022021221022110
4101320132210120212000
5130113213104013211
62340311531535320
7154532426261265
oct21703644304600
94313838257273
101228873501056
11434187066863
1217a1b72ba540
138bb61481886
14436990d726c
1521e74996ea6
hex11e1e918980

1228873501056 has 128 divisors (see below), whose sum is σ = 3384100218240. Its totient is φ = 394818375680.

The previous prime is 1228873501039. The next prime is 1228873501057. The reversal of 1228873501056 is 6501053788221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1228873500996 and 1228873501014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228873501057) 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, 836551 + ... + 1776953.

It is an arithmetic number, because the mean of its divisors is an integer number (26438282955).

Almost surely, 21228873501056 is an apocalyptic number.

1228873501056 is a gapful number since it is divisible by the number (16) 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 1228873501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692050109120).

1228873501056 is an abundant number, since it is smaller than the sum of its proper divisors (2155226717184).

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

1228873501056 is an equidigital number, since it uses as much as digits as its factorization.

1228873501056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940544 (or 940532 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 1228873501056 in words is "one trillion, two hundred twenty-eight billion, eight hundred seventy-three million, five hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 83 96 123 128 164 166 192 246 249 328 332 384 492 498 656 664 984 996 1312 1328 1968 1992 2624 2656 3403 3936 3984 5248 5312 6806 7872 7968 10209 10624 13612 15744 15936 20418 27224 31872 40836 54448 81672 108896 163344 217792 326688 435584 653376 940403 1306752 1880806 2821209 3761612 5642418 7523224 11284836 15046448 22569672 30092896 38556523 45139344 60185792 77113046 78053449 90278688 115669569 120371584 154226092 156106898 180557376 231339138 234160347 308452184 312213796 361114752 462678276 468320694 616904368 624427592 925356552 936641388 1233808736 1248855184 1850713104 1873282776 2467617472 2497710368 3200191409 3701426208 3746565552 4935234944 4995420736 6400382818 7402852416 7493131104 9600574227 9990841472 12800765636 14805704832 14986262208 19201148454 25601531272 29972524416 38402296908 51203062544 76804593816 102406125088 153609187632 204812250176 307218375264 409624500352 614436750528 1228873501056