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5411297187072 = 28357611012017
BaseRepresentation
bin100111010111110101001…
…1100100101010100000000
3201011022111121100001200000
41032233222130211110000
51202124314034441242
615301525434400000
71065644663111460
oct116575234452400
921138447301600
105411297187072
1117a6a1120a7a7
127348b4590000
1330338b08158a
14149ca0099ba0
1595b60d0ea4c
hex4ebea725500

5411297187072 has 864 divisors, whose sum is σ = 18990014394624. Its totient is φ = 1504935936000.

The previous prime is 5411297187067. The next prime is 5411297187073. The reversal of 5411297187072 is 2707817921145.

5411297187072 is a `hidden beast` number, since 5 + 411 + 2 + 97 + 1 + 8 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5411297187073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2682843408 + ... + 2682845424.

Almost surely, 25411297187072 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 5411297187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9495007197312).

5411297187072 is an abundant number, since it is smaller than the sum of its proper divisors (13578717207552).

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

5411297187072 is a wasteful number, since it uses less digits than its factorization.

5411297187072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 5411297187072 in words is "five trillion, four hundred eleven billion, two hundred ninety-seven million, one hundred eighty-seven thousand, seventy-two".