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5746696956 = 22347111322947
BaseRepresentation
bin1010101101000011…
…11010001011111100
3112211111102110020000
411112201322023330
543232123300311
62350123354300
7262260055350
oct52641721374
915744373200
105746696956
112489951530
121144682990
1370776ab00
143c7313460
152397a0056
hex15687a2fc

5746696956 has 720 divisors, whose sum is σ = 21427338240. Its totient is φ = 1302013440.

The previous prime is 5746696939. The next prime is 5746696961. The reversal of 5746696956 is 6596966475.

5746696956 is a `hidden beast` number, since 574 + 6 + 6 + 9 + 6 + 9 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (73483200) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 5746696893 and 5746696902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 122270125 + ... + 122270171.

It is an arithmetic number, because the mean of its divisors is an integer number (29760192).

Almost surely, 25746696956 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 5746696956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713669120).

5746696956 is an abundant number, since it is smaller than the sum of its proper divisors (15680641284).

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

5746696956 is a wasteful number, since it uses less digits than its factorization.

5746696956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The square root of 5746696956 is about 75806.9716846676. The cubic root of 5746696956 is about 1791.1808273438.

The spelling of 5746696956 in words is "five billion, seven hundred forty-six million, six hundred ninety-six thousand, nine hundred fifty-six".