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100289254654976 = 210101969690349
BaseRepresentation
bin10110110011011001101001…
…011001100000010000000000
3111011002120002120222110202012
4112303121221121200100000
5101121114343142424401
6553144125245512052
730060442136142242
oct2663315131402000
9434076076873665
10100289254654976
1129a56485798742
12b2b8890572628
1343c630ba2c61a
141aaa050c12092
15b8db489428bb
hex5b3669660400

100289254654976 has 44 divisors (see below), whose sum is σ = 202465526937900. Its totient is φ = 49648145817600.

The previous prime is 100289254654973. The next prime is 100289254655003. The reversal of 100289254654976 is 679456452982001.

100289254654976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 98177975910400 + 2111278744576 = 9908480^2 + 1453024^2 .

It is a Leyland number of the form 1410 + 1014.

It is not an unprimeable number, because it can be changed into a prime (100289254654973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 484741751 + ... + 484948598.

Almost surely, 2100289254654976 is an apocalyptic number.

100289254654976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100289254654976 is an abundant number, since it is smaller than the sum of its proper divisors (102176272282924).

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

100289254654976 is an equidigital number, since it uses as much as digits as its factorization.

100289254654976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969690470 (or 969690452 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 68.

It can be divided in two parts, 100 and 289254654976, that multiplied together give a square (28925465497600 = 53782402).

The spelling of 100289254654976 in words is "one hundred trillion, two hundred eighty-nine billion, two hundred fifty-four million, six hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1616 3232 6464 12928 25856 51712 103424 969690349 1939380698 3878761396 7757522792 15515045584 31030091168 62060182336 97938725249 124120364672 195877450498 248240729344 391754900996 496481458688 783509801992 992962917376 1567019603984 3134039207968 6268078415936 12536156831872 25072313663744 50144627327488 100289254654976