Search a number
-
+
16375070448 = 24321145722621
BaseRepresentation
bin11110100000000011…
…11011111011110000
31120021012120202201200
433100001323323300
5232014004223243
611304514331200
71116534542112
oct172001737360
946235522650
1016375070448
116a43333880
12320bb89b00
13170c6a96c9
14b14ac73b2
1565c8d2ad3
hex3d007bef0

16375070448 has 120 divisors (see below), whose sum is σ = 50105196336. Its totient is φ = 4951065600.

The previous prime is 16375070441. The next prime is 16375070461. The reversal of 16375070448 is 84407057361.

16375070448 is a `hidden beast` number, since 1 + 637 + 5 + 0 + 7 + 0 + 4 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16375070441) 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, 712578 + ... + 735198.

Almost surely, 216375070448 is an apocalyptic number.

16375070448 is a gapful number since it is divisible by the number (18) 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 16375070448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25052598168).

16375070448 is an abundant number, since it is smaller than the sum of its proper divisors (33730125888).

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

16375070448 is a wasteful number, since it uses less digits than its factorization.

16375070448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23103 (or 23094 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 16375070448 in words is "sixteen billion, three hundred seventy-five million, seventy thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 457 528 792 914 1371 1584 1828 2742 3656 4113 5027 5484 7312 8226 10054 10968 15081 16452 20108 21936 22621 30162 32904 40216 45242 45243 60324 65808 67863 80432 90484 90486 120648 135726 180968 180972 203589 241296 248831 271452 361936 361944 407178 497662 542904 723888 746493 814356 995324 1085808 1492986 1628712 1990648 2239479 2985972 3257424 3981296 4478958 5971944 8957916 10337797 11943888 17915832 20675594 31013391 35831664 41351188 62026782 82702376 93040173 113715767 124053564 165404752 186080346 227431534 248107128 341147301 372160692 454863068 496214256 682294602 744321384 909726136 1023441903 1364589204 1488642768 1819452272 2046883806 2729178408 4093767612 5458356816 8187535224 16375070448