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5410641152 = 2873431433
BaseRepresentation
bin1010000100111111…
…11101010100000000
3111222002002001022202
411002133331110000
542040111004102
62252520452332
7251036456000
oct50237752400
914862061282
105410641152
112327190864
12107001a0a8
13682c57817
14394836000
1521a01ce02
hex1427fd500

5410641152 has 144 divisors (see below), whose sum is σ = 12896822400. Its totient is φ = 2263339008.

The previous prime is 5410641151. The next prime is 5410641167. The reversal of 5410641152 is 2511460145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5410641151) 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, 3775028 + ... + 3776460.

Almost surely, 25410641152 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 5410641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448411200).

5410641152 is an abundant number, since it is smaller than the sum of its proper divisors (7486181248).

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

5410641152 is an equidigital number, since it uses as much as digits as its factorization.

5410641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5410641152 is about 73557.0605176689. The cubic root of 5410641152 is about 1755.5622911265.

The spelling of 5410641152 in words is "five billion, four hundred ten million, six hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 128 172 196 224 256 301 343 344 392 448 602 686 688 784 896 1204 1372 1376 1433 1568 1792 2107 2408 2744 2752 2866 3136 4214 4816 5488 5504 5732 6272 8428 9632 10031 10976 11008 11464 12544 14749 16856 19264 20062 21952 22928 29498 33712 38528 40124 43904 45856 58996 61619 67424 70217 77056 80248 87808 91712 117992 123238 134848 140434 160496 183424 235984 246476 269696 280868 320992 366848 431333 471968 491519 492952 539392 561736 641984 862666 943936 983038 985904 1123472 1283968 1725332 1887872 1966076 1971808 2246944 2567936 3019331 3450664 3775744 3932152 3943616 4493888 6038662 6901328 7864304 7887232 8987776 12077324 13802656 15728608 15774464 17975552 21135317 24154648 27605312 31457216 42270634 48309296 55210624 62914432 84541268 96618592 110421248 125828864 169082536 193237184 338165072 386474368 676330144 772948736 1352660288 2705320576 5410641152