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5700872880 = 243354164373
BaseRepresentation
bin1010100111100110…
…00110101010110000
3112201022012100102000
411103303012222300
543133410413010
62341405254000
7261162422433
oct52363065260
915638170360
105700872880
112465aa319a
121131264300
136cb115381
143c11c581a
1523574c7c0
hex153cc6ab0

5700872880 has 160 divisors (see below), whose sum is σ = 20115587520. Its totient is φ = 1483130880.

The previous prime is 5700872869. The next prime is 5700872887. The reversal of 5700872880 is 882780075.

It is a happy number.

5700872880 is a `hidden beast` number, since 570 + 0 + 8 + 72 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5700872887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56374 + ... + 120746.

It is an arithmetic number, because the mean of its divisors is an integer number (125722422).

Almost surely, 25700872880 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 5700872880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057793760).

5700872880 is an abundant number, since it is smaller than the sum of its proper divisors (14414714640).

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

5700872880 is a wasteful number, since it uses less digits than its factorization.

5700872880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64436 (or 64424 counting only the distinct ones).

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

The square root of 5700872880 is about 75504.1249204307. The cubic root of 5700872880 is about 1786.4071666504.

The spelling of 5700872880 in words is "five billion, seven hundred million, eight hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1476 1640 1845 1968 2160 2214 2460 2952 3280 3690 4428 4920 5535 5904 7380 8856 9840 11070 14760 17712 22140 29520 44280 64373 88560 128746 193119 257492 321865 386238 514984 579357 643730 772476 965595 1029968 1158714 1287460 1544952 1738071 1931190 2317428 2574920 2639293 2896785 3089904 3476142 3862380 4634856 5149840 5278586 5793570 6952284 7724760 7917879 8690355 9269712 10557172 11587140 13196465 13904568 15449520 15835758 17380710 21114344 23174280 23753637 26392930 27809136 31671516 34761420 39589395 42228688 46348560 47507274 52785860 63343032 69522840 71260911 79178790 95014548 105571720 118768185 126686064 139045680 142521822 158357580 190029096 211143440 237536370 285043644 316715160 356304555 380058192 475072740 570087288 633430320 712609110 950145480 1140174576 1425218220 1900290960 2850436440 5700872880