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1122256321956 = 22327211222932
BaseRepresentation
bin10000010101001011101…
…100000111110110100100
310222021201222021001211100
4100111023230013312210
5121341340104300311
62215320223440100
7144036362225400
oct20251354076644
93867658231740
101122256321956
113a2a45489100
12161601456030
1381a9ca74353
143c4632cc100
151e2d4861a56
hex1054bb07da4

1122256321956 has 243 divisors, whose sum is σ = 3628820111553. Its totient is φ = 291368024640.

The previous prime is 1122256321939. The next prime is 1122256321961. The reversal of 1122256321956 is 6591236522211.

The square root of 1122256321956 is 1059366.

It is a perfect power (a square), and thus also a powerful number.

1122256321956 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 5 + 632 + 1 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 325550124900 + 796706197056 = 570570^2 + 892584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 489425946 + ... + 489428238.

Almost surely, 21122256321956 is an apocalyptic number.

1122256321956 is the 1059366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122256321956

1122256321956 is an abundant number, since it is smaller than the sum of its proper divisors (2506563789597).

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

1122256321956 is a wasteful number, since it uses less digits than its factorization.

1122256321956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 2316 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 1122256321956 in words is "one trillion, one hundred twenty-two billion, two hundred fifty-six million, three hundred twenty-one thousand, nine hundred fifty-six".