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2832550800012 = 223231103167147557
BaseRepresentation
bin101001001110000001001…
…011110010101010001100
3101000210022100001120010100
4221032001023302222030
5332402031001100022
610005131134011100
7411434151353463
oct51160113625214
911023270046110
102832550800012
119a230709a39a
12398b73646a90
131771541b084b
149b14bd359da
154da33d0b1ac
hex293812f2a8c

2832550800012 has 144 divisors (see below), whose sum is σ = 7507524390912. Its totient is φ = 899430549120.

The previous prime is 2832550800011. The next prime is 2832550800031. The reversal of 2832550800012 is 2100080552382.

2832550800012 is a `hidden beast` number, since 28 + 3 + 2 + 550 + 80 + 0 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2832550800012.

It is not an unprimeable number, because it can be changed into a prime (2832550800011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19122538 + ... + 19270094.

It is an arithmetic number, because the mean of its divisors is an integer number (52135586048).

Almost surely, 22832550800012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832550800012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753762195456).

2832550800012 is an abundant number, since it is smaller than the sum of its proper divisors (4674973590900).

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

2832550800012 is a wasteful number, since it uses less digits than its factorization.

2832550800012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147868 (or 147863 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 2832550800012 in words is "two trillion, eight hundred thirty-two billion, five hundred fifty million, eight hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 103 124 167 186 206 279 309 334 372 412 501 558 618 668 927 1002 1116 1236 1503 1854 2004 3006 3193 3708 5177 6012 6386 9579 10354 12772 15531 17201 19158 20708 28737 31062 34402 38316 46593 51603 57474 62124 68804 93186 103206 114948 147557 154809 186372 206412 295114 309618 442671 533231 590228 619236 885342 1066462 1328013 1599693 1770684 2132924 2656026 3199386 4574267 4799079 5312052 6398772 9148534 9598158 13722801 15198371 18297068 19196316 24642019 27445602 30396742 41168403 45595113 49284038 54891204 60793484 73926057 82336806 91190226 98568076 136785339 147852114 164673612 182380452 221778171 273570678 295704228 443556342 471149501 547141356 763902589 887112684 942299002 1413448503 1527805178 1884598004 2291707767 2538127957 2826897006 3055610356 4240345509 4583415534 5076255914 5653794012 6875123301 7614383871 8480691018 9166831068 10152511828 13750246602 15228767742 16961382036 22843151613 27500493204 30457535484 45686303226 78681966667 91372606452 157363933334 236045900001 314727866668 472091800002 708137700003 944183600004 1416275400006 2832550800012