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16114252464 = 243217323739
BaseRepresentation
bin11110000000111101…
…11111101010110000
31112121000210211201100
433000132333222300
5231000222034324
611223000204400
71110216612612
oct170036775260
945530724640
1016114252464
11691a091422
123158769700
13169a64a03b
14acc1d2db2
15644a634c9
hex3c07bfab0

16114252464 has 90 divisors (see below), whose sum is σ = 45371843660. Its totient is φ = 5338940544.

The previous prime is 16114252421. The next prime is 16114252471. The reversal of 16114252464 is 46425241161.

16114252464 is a `hidden beast` number, since 1 + 6 + 1 + 142 + 52 + 464 = 666.

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 4307907 + ... + 4311645.

Almost surely, 216114252464 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 16114252464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685921830).

16114252464 is an abundant number, since it is smaller than the sum of its proper divisors (29257591196).

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

16114252464 is a wasteful number, since it uses less digits than its factorization.

16114252464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 3917 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 16114252464 in words is "sixteen billion, one hundred fourteen million, two hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 3739 4152 6228 7478 8304 11217 12456 14956 22434 24912 29912 29929 33651 44868 59824 59858 67302 89736 89787 119716 134604 179472 179574 239432 269208 269361 359148 478864 538416 538722 646847 718296 1077444 1293694 1436592 1940541 2154888 2587388 3881082 4309776 5174776 5821623 7762164 10349552 11643246 15524328 23286492 31048656 46572984 93145968 111904531 223809062 335713593 447618124 671427186 895236248 1007140779 1342854372 1790472496 2014281558 2685708744 4028563116 5371417488 8057126232 16114252464