Search a number
-
+
55368990720 = 21433525033
BaseRepresentation
bin110011100100001111…
…111100000000000000
312021220202112011022000
4303210033330000000
51401343430200340
641234113344000
74000044440631
oct634417740000
9167822464260
1055368990720
112153339626a
12a892b68000
1352b51a3704
142973803888
151690dd6d30
hexce43fc000

55368990720 has 240 divisors, whose sum is σ = 196869378720. Its totient is φ = 14764474368.

The previous prime is 55368990613. The next prime is 55368990727. The reversal of 55368990720 is 2709986355.

55368990720 is a `hidden beast` number, since 5 + 536 + 89 + 9 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×553689907202 (a number of 22 digits) contains 22 as substring.

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 (55368990727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2199324 + ... + 2224356.

It is an arithmetic number, because the mean of its divisors is an integer number (820289078).

Almost surely, 255368990720 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 55368990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98434689360).

55368990720 is an abundant number, since it is smaller than the sum of its proper divisors (141500388000).

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

55368990720 is an equidigital number, since it uses as much as digits as its factorization.

55368990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25075 (or 25043 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 55368990720 in words is "fifty-five billion, three hundred sixty-eight million, nine hundred ninety thousand, seven hundred twenty".