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55169009280 = 2735571117271
BaseRepresentation
bin110011011000010101…
…000100011010000000
312021101211020001100000
4303120111010122000
51400441231244110
641202211200000
73662065561440
oct633025043200
9167354201300
1055169009280
1121440516250
12a837ba6000
1352829249b8
142955028120
15167d5831c0
hexcd8544680

55169009280 has 1536 divisors, whose sum is σ = 261761310720. Its totient is φ = 10749542400.

The previous prime is 55169009257. The next prime is 55169009303. The reversal of 55169009280 is 8290096155.

55169009280 is a `hidden beast` number, since 551 + 6 + 9 + 0 + 0 + 92 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55169009257) and next prime (55169009303).

It is a super-2 number, since 2×551690092802 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203575545 + ... + 203575815.

It is an arithmetic number, because the mean of its divisors is an integer number (170417520).

Almost surely, 255169009280 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 55169009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130880655360).

55169009280 is an abundant number, since it is smaller than the sum of its proper divisors (206592301440).

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

55169009280 is a wasteful number, since it uses less digits than its factorization.

55169009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 55169009280 in words is "fifty-five billion, one hundred sixty-nine million, nine thousand, two hundred eighty".