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16055156468736 = 210357511349
BaseRepresentation
bin1110100110100010000111…
…1001011110110000000000
32002211212011110101201200000
43221220201321132300000
54101021430023444421
654051345334400000
73244642513200000
oct351504171366000
962755143351600
1016055156468736
11512aa542a6830
12197371b500000
138c5cc163bc68
143d7106400000
151cc9712d3226
hexe9a21e5ec00

16055156468736 has 1584 divisors, whose sum is σ = 61362326188800. Its totient is φ = 4158221598720.

The previous prime is 16055156468731. The next prime is 16055156468737. The reversal of 16055156468736 is 63786465155061.

16055156468736 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 5 + 1 + 564 + 68 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16055156468731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46003313490 + ... + 46003313838.

Almost surely, 216055156468736 is an apocalyptic number.

16055156468736 is a gapful number since it is divisible by the number (16) 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 16055156468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30681163094400).

16055156468736 is an abundant number, since it is smaller than the sum of its proper divisors (45307169720064).

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

16055156468736 is an frugal number, since it uses more digits than its factorization.

16055156468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 16055156468736 in words is "sixteen trillion, fifty-five billion, one hundred fifty-six million, four hundred sixty-eight thousand, seven hundred thirty-six".