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55740069000 = 233753711331
BaseRepresentation
bin110011111010010111…
…011111010010001000
312022212121202220000000
4303322113133102020
51403123424202000
641335011043000
74012201524540
oct637227372210
9168777686000
1055740069000
11217038a7930
12a9772a0460
135344029a65
1429aabda320
1516b3786000
hexcfa5df488

55740069000 has 1024 divisors, whose sum is σ = 244623974400. Its totient is φ = 11547360000.

The previous prime is 55740068963. The next prime is 55740069001. The reversal of 55740069000 is 96004755.

55740069000 is a `hidden beast` number, since 557 + 40 + 0 + 69 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×557400690002 (a number of 22 digits) contains 22 as substring.

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 (55740069001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 168398835 + ... + 168399165.

It is an arithmetic number, because the mean of its divisors is an integer number (238890600).

Almost surely, 255740069000 is an apocalyptic number.

55740069000 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 55740069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122311987200).

55740069000 is an abundant number, since it is smaller than the sum of its proper divisors (188883905400).

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

55740069000 is a wasteful number, since it uses less digits than its factorization.

55740069000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 55740069000 in words is "fifty-five billion, seven hundred forty million, sixty-nine thousand".