Search a number
-
+
552259802797920 = 2532573137118740241
BaseRepresentation
bin111110110010001110000000…
…1010111101001011101100000
32200102101112002012101100101100
41331210130001113221131200
51034341211034004013140
65234320352335434400
7224216311512423450
oct17544340127513540
92612345065340340
10552259802797920
1114aa70081329078
1251b33796685a00
131a91cb505ac749
149a53734bd3d60
1543ca828c5c530
hex1f647015e9760

552259802797920 has 1152 divisors, whose sum is σ = 2285360471826432. Its totient is φ = 118754176204800.

The previous prime is 552259802797919. The next prime is 552259802797981. The reversal of 552259802797920 is 29797208952255.

It is a happy number.

552259802797920 is a `hidden beast` number, since 5 + 5 + 2 + 2 + 598 + 0 + 2 + 7 + 9 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13723789000 + ... + 13723829240.

It is an arithmetic number, because the mean of its divisors is an integer number (1983819854016).

Almost surely, 2552259802797920 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 552259802797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142680235913216).

552259802797920 is an abundant number, since it is smaller than the sum of its proper divisors (1733100669028512).

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

552259802797920 is a wasteful number, since it uses less digits than its factorization.

552259802797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41524 (or 41513 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 552259802797920 in words is "five hundred fifty-two trillion, two hundred fifty-nine billion, eight hundred two million, seven hundred ninety-seven thousand, nine hundred twenty".