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552168790272 = 28331123971663
BaseRepresentation
bin10000000100011111101…
…00110001100100000000
31221210020120222211211000
420002033310301210000
533021320202242042
61101355101252000
754615154163661
oct10021764614400
91853216884730
10552168790272
111a319a983800
128b020264000
13400b9312648
141ca219c9368
15e56aacc74c
hex808fd31900

552168790272 has 432 divisors, whose sum is σ = 1800399677440. Its totient is φ = 166802042880.

The previous prime is 552168790247. The next prime is 552168790273. The reversal of 552168790272 is 272097861255.

552168790272 is a `hidden beast` number, since 5 + 521 + 6 + 8 + 7 + 90 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×5521687902723 (a number of 36 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (552168790273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332030913 + ... + 332032575.

Almost surely, 2552168790272 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 552168790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900199838720).

552168790272 is an abundant number, since it is smaller than the sum of its proper divisors (1248230887168).

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

552168790272 is a wasteful number, since it uses less digits than its factorization.

552168790272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

It can be divided in two parts, 55216 and 8790272, that added together give a palindrome (8845488).

The spelling of 552168790272 in words is "five hundred fifty-two billion, one hundred sixty-eight million, seven hundred ninety thousand, two hundred seventy-two".