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54988623360 = 2933511312333
BaseRepresentation
bin110011001101100100…
…111100111000000000
312020221020210111101000
4303031210330320000
51400104041421420
641132245012000
73654445405116
oct631544747000
9166836714330
1054988623360
112135870a680
12a7a76b4000
135254447278
1429390adab6
15166c800690
hexccd93ce00

54988623360 has 640 divisors, whose sum is σ = 220048773120. Its totient is φ = 12895027200.

The previous prime is 54988623341. The next prime is 54988623409. The reversal of 54988623360 is 6332688945.

54988623360 is a `hidden beast` number, since 5 + 4 + 9 + 8 + 8 + 623 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 54988623297 and 54988623306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23568754 + ... + 23571086.

It is an arithmetic number, because the mean of its divisors is an integer number (343826208).

Almost surely, 254988623360 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 54988623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110024386560).

54988623360 is an abundant number, since it is smaller than the sum of its proper divisors (165060149760).

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

54988623360 is a wasteful number, since it uses less digits than its factorization.

54988623360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 54988623360 in words is "fifty-four billion, nine hundred eighty-eight million, six hundred twenty-three thousand, three hundred sixty".