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54888349493376 = 2733724354113933
BaseRepresentation
bin11000111101011101100001…
…00100101110100010000000
321012100021102110010222202000
430132232300210232202000
524143242314432242001
6312423205404024000
714363360316505200
oct1436566044564200
9235307373128660
1054888349493376
1116542022397483
1261a5891232000
132481c4537c6b9
14d7a8788ca400
15652b8a40ea86
hex31ebb092e880

54888349493376 has 768 divisors, whose sum is σ = 193198075804800. Its totient is φ = 15288267939840.

The previous prime is 54888349493353. The next prime is 54888349493449. The reversal of 54888349493376 is 67339494388845.

54888349493376 is a `hidden beast` number, since 5 + 4 + 8 + 8 + 8 + 3 + 494 + 93 + 37 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54888349493295 and 54888349493304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3939442506 + ... + 3939456438.

Almost surely, 254888349493376 is an apocalyptic number.

54888349493376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54888349493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96599037902400).

54888349493376 is an abundant number, since it is smaller than the sum of its proper divisors (138309726311424).

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

54888349493376 is a wasteful number, since it uses less digits than its factorization.

54888349493376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14554 (or 14529 counting only the distinct ones).

The product of its digits is 15049359360, while the sum is 81.

The spelling of 54888349493376 in words is "fifty-four trillion, eight hundred eighty-eight billion, three hundred forty-nine million, four hundred ninety-three thousand, three hundred seventy-six".