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16312454712 = 23321989133981
BaseRepresentation
bin11110011000100110…
…00100111000111000
31120002211202120002100
433030103010320320
5231401442022322
611254400303400
71115144402001
oct171423047070
946084676070
1016312454712
116a10a56734
1231b3011b60
1316cc724c88
14b0a6681a8
15657164dac
hex3cc4c4e38

16312454712 has 96 divisors (see below), whose sum is σ = 47027682000. Its totient is φ = 5093383680.

The previous prime is 16312454689. The next prime is 16312454713. The reversal of 16312454712 is 21745421361.

16312454712 is a `hidden beast` number, since 1 + 63 + 124 + 5 + 471 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16312454713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54762 + ... + 188742.

Almost surely, 216312454712 is an apocalyptic number.

16312454712 is a gapful number since it is divisible by the number (12) 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 16312454712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23513841000).

16312454712 is an abundant number, since it is smaller than the sum of its proper divisors (30715227288).

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

16312454712 is a wasteful number, since it uses less digits than its factorization.

16312454712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134101 (or 134094 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 16312454712 in words is "sixteen billion, three hundred twelve million, four hundred fifty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 89 114 152 171 178 228 267 342 356 456 534 684 712 801 1068 1368 1602 1691 2136 3204 3382 5073 6408 6764 10146 13528 15219 20292 30438 40584 60876 121752 133981 267962 401943 535924 803886 1071848 1205829 1607772 2411658 2545639 3215544 4823316 5091278 7636917 9646632 10182556 11924309 15273834 20365112 22910751 23848618 30547668 35772927 45821502 47697236 61095336 71545854 91643004 95394472 107318781 143091708 183286008 214637562 226561871 286183416 429275124 453123742 679685613 858550248 906247484 1359371226 1812494968 2039056839 2718742452 4078113678 5437484904 8156227356 16312454712