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2868621480 = 233451752081
BaseRepresentation
bin1010101011111011…
…1011000010101000
321101220211001220000
42222332323002220
521333331341410
61152352303000
7131041610634
oct25276730250
97356731800
102868621480
11124229785a
12680841a60
1336940547a
141d2da7dc4
1511bc91dc0
hexaafbb0a8

2868621480 has 160 divisors (see below), whose sum is σ = 10209113640. Its totient is φ = 719953920.

The previous prime is 2868621467. The next prime is 2868621523. The reversal of 2868621480 is 841268682.

2868621480 is a `hidden beast` number, since 286 + 86 + 214 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2068976196 + 799645284 = 45486^2 + 28278^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29040 + ... + 81120.

Almost surely, 22868621480 is an apocalyptic number.

2868621480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2868621480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104556820).

2868621480 is an abundant number, since it is smaller than the sum of its proper divisors (7340492160).

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

2868621480 is a wasteful number, since it uses less digits than its factorization.

2868621480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52121 (or 52108 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2868621480 is about 53559.5134406578. The cubic root of 2868621480 is about 1420.8811366535.

The spelling of 2868621480 in words is "two billion, eight hundred sixty-eight million, six hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 52081 55080 104162 156243 208324 260405 312486 416648 468729 520810 624972 781215 885377 937458 1041620 1249944 1406187 1562430 1770754 1874916 2083240 2343645 2656131 2812374 3124860 3541508 3749832 4218561 4426885 4687290 5312262 5624748 6249720 7030935 7083016 7968393 8437122 8853770 9374580 10624524 11249496 13280655 14061870 15936786 16874244 17707540 18749160 21092805 21249048 23905179 26561310 28123740 31873572 33748488 35415080 39841965 42185610 47810358 53122620 56247480 63747144 71715537 79683930 84371220 95620716 106245240 119525895 143431074 159367860 168742440 191241432 239051790 286862148 318735720 358577685 478103580 573724296 717155370 956207160 1434310740 2868621480