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5754287202048 = 2833711312291523
BaseRepresentation
bin101001110111100011000…
…1111101001111100000000
3202101002211011120010101000
41103233012033221330000
51223234240010431143
620123252201012000
71132506413122560
oct123570617517400
922332734503330
105754287202048
11191941a1255a0
1278b277184000
1332981c55c168
1415c71a932da0
159ea37725bd3
hex53bc63e9f00

5754287202048 has 1152 divisors, whose sum is σ = 22009739673600. Its totient is φ = 1439144755200.

The previous prime is 5754287202043. The next prime is 5754287202061. The reversal of 5754287202048 is 8402027824575.

It is a happy number.

5754287202048 is a `hidden beast` number, since 5 + 7 + 5 + 428 + 7 + 2 + 0 + 204 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×57542872020482 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5754287201985 and 5754287202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5754287202043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3778257415 + ... + 3778258937.

It is an arithmetic number, because the mean of its divisors is an integer number (19105676800).

Almost surely, 25754287202048 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 5754287202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004869836800).

5754287202048 is an abundant number, since it is smaller than the sum of its proper divisors (16255452471552).

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

5754287202048 is a wasteful number, since it uses less digits than its factorization.

5754287202048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 5754287202048 in words is "five trillion, seven hundred fifty-four billion, two hundred eighty-seven million, two hundred two thousand, forty-eight".