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54982903680 = 273458631229
BaseRepresentation
bin110011001101001111…
…001000011110000000
312020220212000220110000
4303031033020132000
51400101110404210
641131522240000
73654345653505
oct631517103600
9166825026400
1054982903680
1121355463371
12a7a57b6000
1352531c3a43
1429384214ac
15166c070ac0
hexccd3c8780

54982903680 has 320 divisors, whose sum is σ = 196741353600. Its totient is φ = 14633201664.

The previous prime is 54982903669. The next prime is 54982903693. The reversal of 54982903680 is 8630928945.

54982903680 is a `hidden beast` number, since 5 + 498 + 2 + 90 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44737306 + ... + 44738534.

It is an arithmetic number, because the mean of its divisors is an integer number (614816730).

Almost surely, 254982903680 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 54982903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98370676800).

54982903680 is an abundant number, since it is smaller than the sum of its proper divisors (141758449920).

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

54982903680 is a wasteful number, since it uses less digits than its factorization.

54982903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 54982903680 in words is "fifty-four billion, nine hundred eighty-two million, nine hundred three thousand, six hundred eighty".