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55805904000 = 2732537211719
BaseRepresentation
bin110011111110010010…
…101000010010000000
312100001012122122122100
4303332102220102000
51403242302412000
641345322110400
74013631233400
oct637622502200
9170035578570
1055805904000
1121737a83720
12a99534b400
13535486a892
1429b5856800
1516b943ca00
hexcfe4a8480

55805904000 has 1152 divisors, whose sum is σ = 254681107200. Its totient is φ = 11579904000.

The previous prime is 55805903971. The next prime is 55805904001. The reversal of 55805904000 is 40950855.

It is a happy number.

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

It is a super-2 number, since 2×558059040002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55805904001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77615641 + ... + 77616359.

It is an arithmetic number, because the mean of its divisors is an integer number (221077350).

Almost surely, 255805904000 is an apocalyptic number.

55805904000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55805904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127340553600).

55805904000 is an abundant number, since it is smaller than the sum of its proper divisors (198875203200).

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

55805904000 is a wasteful number, since it uses less digits than its factorization.

55805904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

It can be divided in two parts, 55805 and 904000, that added together give a triangular number (959805 = T1385).

The spelling of 55805904000 in words is "fifty-five billion, eight hundred five million, nine hundred four thousand".