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20077984714240 = 29537426149747
BaseRepresentation
bin1001001000010110001010…
…01001011000111000000000
32122002102210021110110022101
410210023011021120320000
510112424203041323430
6110411410541120144
74141405115115535
oct444130511307000
978072707413271
1020077984714240
116441030a370a2
1223032b8559054
13b28465a4ba6b
144d5acb4bcd8c
1524c41b472dca
hex1242c5258e00

20077984714240 has 160 divisors (see below), whose sum is σ = 49453786746144. Its totient is φ = 7812143677440.

The previous prime is 20077984714231. The next prime is 20077984714253. The reversal of 20077984714240 is 4241748977002.

20077984714240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403577047 + ... + 403626793.

Almost surely, 220077984714240 is an apocalyptic number.

20077984714240 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 20077984714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24726893373072).

20077984714240 is an abundant number, since it is smaller than the sum of its proper divisors (29375802031904).

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

20077984714240 is an equidigital number, since it uses as much as digits as its factorization.

20077984714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54068 (or 54052 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 20077984714240 in words is "twenty trillion, seventy-seven billion, nine hundred eighty-four million, seven hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1184 1280 1480 2368 2560 2960 4261 4736 5920 8522 9472 11840 17044 18944 21305 23680 34088 42610 47360 49747 68176 85220 94720 99494 136352 157657 170440 198988 248735 272704 315314 340880 397976 497470 545408 630628 681760 788285 795952 994940 1090816 1261256 1363520 1576570 1591904 1840639 1989880 2181632 2522512 2727040 3153140 3183808 3681278 3979760 5045024 5454080 6306280 6367616 7362556 7959520 9203195 10090048 10908160 12612560 12735232 14725112 15919040 18406390 20180096 25225120 25470464 29450224 31838080 36812780 40360192 50450240 58900448 63676160 73625560 80720384 100900480 117800896 127352320 147251120 201800960 211971967 235601792 294502240 403601920 423943934 471203584 589004480 847887868 942407168 1059859835 1178008960 1695775736 2119719670 2356017920 3391551472 4239439340 4712035840 6783102944 7842962779 8478878680 13566205888 15685925558 16957757360 27132411776 31371851116 33915514720 39214813895 54264823552 62743702232 67831029440 78429627790 108529647104 125487404464 135662058880 156859255580 250974808928 271324117760 313718511160 501949617856 542648235520 627437022320 1003899235712 1254874044640 2007798471424 2509748089280 4015596942848 5019496178560 10038992357120 20077984714240