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5202609216 = 26374390023
BaseRepresentation
bin1001101100001100…
…11000010001000000
3111102120121221011020
410312012120101000
541123331443331
62220125545440
7242632306620
oct46606302100
914376557136
105202609216
11222a812342
121012415280
1364bb1a6bc
14374d62880
15206b28c96
hex136198440

5202609216 has 112 divisors (see below), whose sum is σ = 16097731584. Its totient is φ = 1451874816.

The previous prime is 5202609199. The next prime is 5202609239. The reversal of 5202609216 is 6129062025.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12781 + ... + 102803.

Almost surely, 25202609216 is an apocalyptic number.

5202609216 is a gapful number since it is divisible by the number (56) 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 5202609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048865792).

5202609216 is an abundant number, since it is smaller than the sum of its proper divisors (10895122368).

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

5202609216 is a wasteful number, since it uses less digits than its factorization.

5202609216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90088 (or 90078 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5202609216 is about 72129.1148982157. The cubic root of 5202609216 is about 1732.7679320924.

The spelling of 5202609216 in words is "five billion, two hundred two million, six hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2408 2752 3612 4128 4816 7224 8256 9632 14448 19264 28896 57792 90023 180046 270069 360092 540138 630161 720184 1080276 1260322 1440368 1890483 2160552 2520644 2880736 3780966 3870989 4321104 5041288 5761472 7561932 7741978 8642208 10082576 11612967 15123864 15483956 17284416 20165152 23225934 27096923 30247728 30967912 40330304 46451868 54193846 60495456 61935824 81290769 92903736 108387692 120990912 123871648 162581538 185807472 216775384 247743296 325163076 371614944 433550768 650326152 743229888 867101536 1300652304 1734203072 2601304608 5202609216