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55522696320 = 27335713173167
BaseRepresentation
bin110011101101011010…
…010001110010000000
312022022110202012202000
4303231122101302000
51402202302240240
641301244024000
74003622063130
oct635532216200
9168273665660
1055522696320
1121602129593
12a916532000
13530ac9c180
142989db4ac0
15169e649430
hexced691c80

55522696320 has 2048 divisors, whose sum is σ = 268473139200. Its totient is φ = 10510663680.

The previous prime is 55522696247. The next prime is 55522696321. The reversal of 55522696320 is 2369622555.

55522696320 is a `hidden beast` number, since 5 + 5 + 5 + 2 + 2 + 6 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55522696321) 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, 828696927 + ... + 828696993.

It is an arithmetic number, because the mean of its divisors is an integer number (131090400).

Almost surely, 255522696320 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 55522696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134236569600).

55522696320 is an abundant number, since it is smaller than the sum of its proper divisors (212950442880).

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

55522696320 is a wasteful number, since it uses less digits than its factorization.

55522696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 55522696320 in words is "fifty-five billion, five hundred twenty-two million, six hundred ninety-six thousand, three hundred twenty".