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20351102640 = 24351129265819
BaseRepresentation
bin10010111101000001…
…010010111010110000
31221112022012010112020
4102331001102322300
5313134340241030
613203230431440
71320214342521
oct227501227260
957468163466
1020351102640
1186a37376a0
123b3b662580
131bc435898b
14db0b9c848
157e19c1510
hex4bd052eb0

20351102640 has 160 divisors (see below), whose sum is σ = 71197228800. Its totient is φ = 4763458560.

The previous prime is 20351102633. The next prime is 20351102659. The reversal of 20351102640 is 4620115302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20351102640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56350 + ... + 209469.

It is an arithmetic number, because the mean of its divisors is an integer number (444982680).

Almost surely, 220351102640 is an apocalyptic number.

20351102640 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 20351102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35598614400).

20351102640 is an abundant number, since it is smaller than the sum of its proper divisors (50846126160).

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

20351102640 is a wasteful number, since it uses less digits than its factorization.

20351102640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265875 (or 265869 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 20351102640 its reverse (4620115302), we get a palindrome (24971217942).

The spelling of 20351102640 in words is "twenty billion, three hundred fifty-one million, one hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 265819 531638 797457 1063276 1329095 1594914 2126552 2658190 2924009 3189828 3987285 4253104 5316380 5848018 6379656 7708751 7974570 8772027 10632760 11696036 12759312 14620045 15417502 15949140 17544054 21265520 23126253 23392072 29240090 30835004 31898280 35088108 38543755 43860135 46252506 46784144 58480180 61670008 63796560 70176216 77087510 84796261 87720270 92505012 115631265 116960360 123340016 140352432 154175020 169592522 175440540 185010024 231262530 233920720 254388783 308350040 339185044 350881080 370020048 423981305 462525060 508777566 616700080 678370088 701762160 847962610 925050120 1017555132 1271943915 1356740176 1695925220 1850100240 2035110264 2543887830 3391850440 4070220528 5087775660 6783700880 10175551320 20351102640