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55316701440 = 2834571113241
BaseRepresentation
bin110011100001001000…
…011110000100000000
312021210010010120220000
4303201020132010000
51401242033421230
641225004520000
73665541130020
oct634110360400
9167703116800
1055316701440
1121506921590
12a879550000
1352a73c6300
14296a8b1a80
15168b508b60
hexce121e100

55316701440 has 2160 divisors, whose sum is σ = 273734246016. Its totient is φ = 10351411200.

The previous prime is 55316701423. The next prime is 55316701457. The reversal of 55316701440 is 4410761355.

55316701440 is a `hidden beast` number, since 5 + 53 + 167 + 0 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (55316701423) and next prime (55316701457).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a junction number, because it is equal to n+sod(n) for n = 55316701395 and 55316701404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1349187820 + ... + 1349187860.

Almost surely, 255316701440 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 55316701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136867123008).

55316701440 is an abundant number, since it is smaller than the sum of its proper divisors (218417544576).

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

55316701440 is a wasteful number, since it uses less digits than its factorization.

55316701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 55316701440 in words is "fifty-five billion, three hundred sixteen million, seven hundred one thousand, four hundred forty".