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5851638016 = 28726832
BaseRepresentation
bin1010111001100100…
…01110100100000000
3120002210220000021221
411130302032210000
543441004404031
62404352524424
7265003050100
oct53462164400
916083800257
105851638016
112533108284
121173850714
13723421603
143d722d200
15243acda11
hex15cc8e900

5851638016 has 81 divisors (see below), whose sum is σ = 13607347971. Its totient is φ = 2504173056.

The previous prime is 5851638011. The next prime is 5851638041. The reversal of 5851638016 is 6108361585.

The square root of 5851638016 is 76496.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (5851638011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8567211 + ... + 8567893.

Almost surely, 25851638016 is an apocalyptic number.

5851638016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5851638016 is the 76496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5851638016

5851638016 is an abundant number, since it is smaller than the sum of its proper divisors (7755709955).

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

5851638016 is an frugal number, since it uses more digits than its factorization.

5851638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The cubic root of 5851638016 is about 1802.0181085253.

The spelling of 5851638016 in words is "five billion, eight hundred fifty-one million, six hundred thirty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 683 784 896 1366 1568 1792 2732 3136 4781 5464 6272 9562 10928 12544 19124 21856 33467 38248 43712 66934 76496 87424 133868 152992 174848 267736 305984 466489 535472 611968 932978 1070944 1223936 1865956 2141888 3265423 3731912 4283776 6530846 7463824 8567552 13061692 14927648 22857961 26123384 29855296 45715922 52246768 59710592 91431844 104493536 119421184 182863688 208987072 365727376 417974144 731454752 835948288 1462909504 2925819008 5851638016