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2045155560 = 233573178539
BaseRepresentation
bin111100111100110…
…1001100011101000
312021112022200000020
41321321221203220
513142024434220
6534534440440
7101452351440
oct17171514350
95245280006
102045155560
1195a489708
12490b03120
13267927726
14155891120
15be832040
hex79e698e8

2045155560 has 128 divisors (see below), whose sum is σ = 7238246400. Its totient is φ = 452378880.

The previous prime is 2045155531. The next prime is 2045155571. The reversal of 2045155560 is 655515402.

It is a super-2 number, since 2×20451555602 = 8365322529197827200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 13230 + ... + 65309.

It is an arithmetic number, because the mean of its divisors is an integer number (56548800).

Almost surely, 22045155560 is an apocalyptic number.

2045155560 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 2045155560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619123200).

2045155560 is an abundant number, since it is smaller than the sum of its proper divisors (5193090840).

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

2045155560 is a wasteful number, since it uses less digits than its factorization.

2045155560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78591 (or 78587 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 2045155560 is about 45223.3961572989. The cubic root of 2045155560 is about 1269.3326437802.

The spelling of 2045155560 in words is "two billion, forty-five million, one hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 78539 157078 235617 314156 392695 471234 549773 628312 785390 942468 1099546 1178085 1570780 1649319 1884936 2199092 2356170 2434709 2748865 3141560 3298638 4398184 4712340 4869418 5497730 6597276 7304127 8246595 9424680 9738836 10995460 12173545 13194552 14608254 16493190 17042963 19477672 21990920 24347090 29216508 32986380 34085926 36520635 48694180 51128889 58433016 65972760 68171852 73041270 85214815 97388360 102257778 136343704 146082540 170429630 204515556 255644445 292165080 340859260 409031112 511288890 681718520 1022577780 2045155560