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5925334688 = 257132193811
BaseRepresentation
bin1011000010010110…
…10110111010100000
3120021221120012010022
411201023112322200
544113341202223
62415544253012
7266556341150
oct54113267240
916257505108
105925334688
112570773719
121194471168
13735785900
14402d34760
1524a2d9ac8
hex1612d6ea0

5925334688 has 144 divisors (see below), whose sum is σ = 14529122496. Its totient is φ = 2329067520.

The previous prime is 5925334669. The next prime is 5925334741. The reversal of 5925334688 is 8864335295.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7305803 + ... + 7306613.

It is an arithmetic number, because the mean of its divisors is an integer number (100896684).

Almost surely, 25925334688 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 5925334688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264561248).

5925334688 is an abundant number, since it is smaller than the sum of its proper divisors (8603787808).

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

5925334688 is a wasteful number, since it uses less digits than its factorization.

5925334688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1026 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 53.

The square root of 5925334688 is about 76976.1955931832. The cubic root of 5925334688 is about 1809.5515598959.

The spelling of 5925334688 in words is "five billion, nine hundred twenty-five million, three hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 193 208 224 338 364 386 416 676 728 772 811 1183 1351 1352 1456 1544 1622 2366 2509 2702 2704 2912 3088 3244 4732 5018 5404 5408 5677 6176 6488 9464 10036 10543 10808 11354 12976 17563 18928 20072 21086 21616 22708 25952 32617 35126 37856 40144 42172 43232 45416 65234 70252 73801 80288 84344 90832 130468 137059 140504 147602 156523 168688 181664 228319 260936 274118 281008 295204 313046 337376 456638 521872 548236 562016 590408 626092 913276 959413 1043744 1095661 1096472 1180816 1252184 1826552 1918826 2034799 2191322 2192944 2361632 2504368 3653104 3837652 4069598 4382644 4385888 5008736 7306208 7675304 8139196 8765288 14243593 15350608 16278392 17530576 26452387 28487186 30701216 32556784 35061152 52904774 56974372 65113568 105809548 113948744 185166709 211619096 227897488 370333418 423238192 455794976 740666836 846476384 1481333672 2962667344 5925334688