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5870078208 = 28331077937
BaseRepresentation
bin1010111011110001…
…00100100100000000
3120011002120212111000
411131320210210000
544010220000313
62410252052000
7265315561431
oct53570444400
916132525430
105870078208
112542562705
121179a64000
137271a9a77
143d986d488
15245522673
hex15de24900

5870078208 has 144 divisors (see below), whose sum is σ = 17523293760. Its totient is φ = 1938161664.

The previous prime is 5870078197. The next prime is 5870078213. The reversal of 5870078208 is 8028700785.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 735616 + ... + 743552.

It is an arithmetic number, because the mean of its divisors is an integer number (121689540).

Almost surely, 25870078208 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 5870078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761646880).

5870078208 is an abundant number, since it is smaller than the sum of its proper divisors (11653215552).

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

5870078208 is a wasteful number, since it uses less digits than its factorization.

5870078208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8069 (or 8049 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5870078208 is about 76616.4356257846. The cubic root of 5870078208 is about 1803.9090158521.

The spelling of 5870078208 in words is "five billion, eight hundred seventy million, seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 107 108 128 144 192 214 216 256 288 321 384 428 432 576 642 768 856 864 963 1152 1284 1712 1728 1926 2304 2568 2889 3424 3456 3852 5136 5778 6848 6912 7704 7937 10272 11556 13696 15408 15874 20544 23112 23811 27392 30816 31748 41088 46224 47622 61632 63496 71433 82176 92448 95244 123264 126992 142866 184896 190488 214299 246528 253984 285732 369792 380976 428598 507968 571464 739584 761952 849259 857196 1015936 1142928 1523904 1698518 1714392 2031872 2285856 2547777 3047808 3397036 3428784 4571712 5095554 6095616 6794072 6857568 7643331 9143424 10191108 13588144 13715136 15286662 18286848 20382216 22929993 27176288 27430272 30573324 40764432 45859986 54352576 54860544 61146648 81528864 91719972 108705152 122293296 163057728 183439944 217410304 244586592 326115456 366879888 489173184 652230912 733759776 978346368 1467519552 1956692736 2935039104 5870078208