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1233057745920 = 2103571113231199
BaseRepresentation
bin10001111100010111111…
…110000000110000000000
311100212201220200121012110
4101330113332000300000
5130200300240332140
62342243042455320
7155041214623020
oct21742776006000
94325656617173
101233057745920
11435a33a51970
1217ab84664540
138c37a302300
1443974acba80
152211beb3380
hex11f17f80c00

1233057745920 has 2112 divisors, whose sum is σ = 5523716505600. Its totient is φ = 227731046400.

The previous prime is 1233057745897. The next prime is 1233057745921. The reversal of 1233057745920 is 295477503321.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×12330577459202 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1233057745920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233057745921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6196269981 + ... + 6196270179.

Almost surely, 21233057745920 is an apocalyptic number.

1233057745920 is a gapful number since it is divisible by the number (10) 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 1233057745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761858252800).

1233057745920 is an abundant number, since it is smaller than the sum of its proper divisors (4290658759680).

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

1233057745920 is a wasteful number, since it uses less digits than its factorization.

1233057745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 1233057745920 in words is "one trillion, two hundred thirty-three billion, fifty-seven million, seven hundred forty-five thousand, nine hundred twenty".