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1025004956256 = 253643938827
BaseRepresentation
bin11101110101001110000…
…11100110101001100000
310121222201100122211000000
432322213003212221200
5113243202232100011
62102514125300000
7134024402242101
oct16724703465140
93558640584000
101025004956256
1136577a6376a6
121467a0104600
1375871848c48
14378793203a8
151b9e1ab7356
hexeea70e6a60

1025004956256 has 84 divisors (see below), whose sum is σ = 3025583757252. Its totient is φ = 341668310976.

The previous prime is 1025004956233. The next prime is 1025004956317. The reversal of 1025004956256 is 6526594005201.

1025004956256 is a `hidden beast` number, since 1 + 0 + 2 + 50 + 0 + 495 + 62 + 56 = 666.

1025004956256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21946086 + ... + 21992741.

It is an arithmetic number, because the mean of its divisors is an integer number (36018854253).

Almost surely, 21025004956256 is an apocalyptic number.

1025004956256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1025004956256 is an abundant number, since it is smaller than the sum of its proper divisors (2000578800996).

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

1025004956256 is an frugal number, since it uses more digits than its factorization.

1025004956256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43938855 (or 43938832 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1025004956256 in words is "one trillion, twenty-five billion, four million, nine hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 43938827 87877654 131816481 175755308 263632962 351510616 395449443 527265924 703021232 790898886 1054531848 1186348329 1406042464 1581797772 2109063696 2372696658 3163595544 3559044987 4218127392 4745393316 6327191088 7118089974 9490786632 10677134961 12654382176 14236179948 18981573264 21354269922 28472359896 32031404883 37963146528 42708539844 56944719792 64062809766 85417079688 113889439584 128125619532 170834159376 256251239064 341668318752 512502478128 1025004956256