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5413132416 = 27321166809
BaseRepresentation
bin1010000101010010…
…11101100010000000
3111222020202121200210
411002221131202000
542041230214131
62253050114120
7251066603106
oct50251354200
914866677623
105413132416
11232863255a
121070a1b940
1368361a743
14394cc3c76
1521a361146
hex142a5d880

5413132416 has 64 divisors (see below), whose sum is σ = 14446994400. Its totient is φ = 1795799040.

The previous prime is 5413132399. The next prime is 5413132477. The reversal of 5413132416 is 6142313145.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47620 + ... + 114428.

Almost surely, 25413132416 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 5413132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223497200).

5413132416 is an abundant number, since it is smaller than the sum of its proper divisors (9033861984).

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

5413132416 is a wasteful number, since it uses less digits than its factorization.

5413132416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67037 (or 67025 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 5413132416 is about 73573.9927963679. The cubic root of 5413132416 is about 1755.8316922277.

The spelling of 5413132416 in words is "five billion, four hundred thirteen million, one hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 384 422 633 844 1266 1688 2532 3376 5064 6752 10128 13504 20256 27008 40512 66809 81024 133618 200427 267236 400854 534472 801708 1068944 1603416 2137888 3206832 4275776 6413664 8551552 12827328 14096699 25654656 28193398 42290097 56386796 84580194 112773592 169160388 225547184 338320776 451094368 676641552 902188736 1353283104 1804377472 2706566208 5413132416