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5412374208 = 26333784653
BaseRepresentation
bin1010000101001101…
…00100011011000000
3111222012100002122000
411002212210123000
542041031433313
62253021544000
7251060264433
oct50246443300
914865302560
105412374208
11232816493a
121070715000
136834135b7
14394b6781a
1521a261673
hex1429a46c0

5412374208 has 112 divisors (see below), whose sum is σ = 16341608160. Its totient is φ = 1755343872.

The previous prime is 5412374203. The next prime is 5412374243. The reversal of 5412374208 is 8024732145.

It is a happy number.

5412374208 is a `hidden beast` number, since 5 + 412 + 37 + 4 + 208 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5412374203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21610 + ... + 106262.

Almost surely, 25412374208 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 5412374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170804080).

5412374208 is an abundant number, since it is smaller than the sum of its proper divisors (10929233952).

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

5412374208 is a wasteful number, since it uses less digits than its factorization.

5412374208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84711 (or 84695 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5412374208 is about 73568.8399256098. The cubic root of 5412374208 is about 1755.7497096408.

The spelling of 5412374208 in words is "five billion, four hundred twelve million, three hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3996 5328 7104 7992 10656 15984 21312 31968 63936 84653 169306 253959 338612 507918 677224 761877 1015836 1354448 1523754 2031672 2285631 2708896 3047508 3132161 4063344 4571262 5417792 6095016 6264322 8126688 9142524 9396483 12190032 12528644 16253376 18285048 18792966 24380064 25057288 28189449 36570096 37585932 48760128 50114576 56378898 73140192 75171864 84568347 100229152 112757796 146280384 150343728 169136694 200458304 225515592 300687456 338273388 451031184 601374912 676546776 902062368 1353093552 1804124736 2706187104 5412374208