Search a number
-
+
20888951040 = 283251813277
BaseRepresentation
bin10011011101000101…
…000001100100000000
31222220210020122211100
4103131011001210000
5320240032413130
613332442414400
71336435103616
oct233505014400
958823218740
1020888951040
11894a2a5101
12406b801400
131c7b903179
1410223a76b6
15823d13c60
hex4dd141900

20888951040 has 108 divisors (see below), whose sum is σ = 72273634524. Its totient is φ = 5570383872.

The previous prime is 20888951023. The next prime is 20888951087. The reversal of 20888951040 is 4015988802.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8573278464 + 12315672576 = 92592^2 + 110976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 895119 + ... + 918158.

Almost surely, 220888951040 is an apocalyptic number.

20888951040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20888951040 is an abundant number, since it is smaller than the sum of its proper divisors (51384683484).

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

20888951040 is a wasteful number, since it uses less digits than its factorization.

20888951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813304 (or 1813287 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 20888951040 in words is "twenty billion, eight hundred eighty-eight million, nine hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 1813277 3626554 5439831 7253108 9066385 10879662 14506216 16319493 18132770 21759324 27199155 29012432 32638986 36265540 43518648 54398310 58024864 65277972 72531080 81597465 87037296 108796620 116049728 130555944 145062160 163194930 174074592 217593240 232099456 261111888 290124320 326389860 348149184 435186480 464198912 522223776 580248640 652779720 696298368 870372960 1044447552 1160497280 1305559440 1392596736 1740745920 2088895104 2320994560 2611118880 3481491840 4177790208 5222237760 6962983680 10444475520 20888951040