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20612344900 = 2252742932
BaseRepresentation
bin10011001100100101…
…110110110001000100
31222012111202121112111
4103030211312301010
5314203230014100
613245202030404
71326536020000
oct231445666104
958174677474
1020612344900
118818149894
123bb3048404
131c365064b4
14dd7763700
158098c66ba
hex4cc976c44

20612344900 has 135 divisors (see below), whose sum is σ = 52359179831. Its totient is φ = 7042969920.

The previous prime is 20612344853. The next prime is 20612344931. The reversal of 20612344900 is 944321602.

It is a happy number.

The square root of 20612344900 is 143570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3264293956 + 17348050944 = 57134^2 + 131712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 70349154 + ... + 70349446.

Almost surely, 220612344900 is an apocalyptic number.

20612344900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20612344900 is the 143570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20612344900

20612344900 is an abundant number, since it is smaller than the sum of its proper divisors (31746834931).

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

20612344900 is an frugal number, since it uses more digits than its factorization.

20612344900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 20612344900 in words is "twenty billion, six hundred twelve million, three hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 293 343 350 490 586 686 700 980 1172 1225 1372 1465 1715 2051 2401 2450 2930 3430 4102 4802 4900 5860 6860 7325 8204 8575 9604 10255 12005 14357 14650 17150 20510 24010 28714 29300 34300 41020 48020 51275 57428 60025 71785 85849 100499 102550 120050 143570 171698 200998 205100 240100 287140 343396 358925 401996 429245 502495 600943 703493 717850 858490 1004990 1201886 1406986 1435700 1716980 2009980 2146225 2403772 2512475 2813972 3004715 3517465 4206601 4292450 5024950 6009430 7034930 8413202 8584900 10049900 12018860 14069860 15023575 16826404 17587325 21033005 29446207 30047150 35174650 42066010 58892414 60094300 70349300 84132020 105165025 117784828 147231035 206123449 210330050 294462070 412246898 420660100 588924140 736155175 824493796 1030617245 1472310350 2061234490 2944620700 4122468980 5153086225 10306172450 20612344900