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20245412315000 = 235444359915259
BaseRepresentation
bin1001001101001110000001…
…00110111111111101111000
32122200102221121000211001202
410212213000212333331320
510123200101023040000
6111020340343433332
74156453122206465
oct446470046777570
978612847024052
1020245412315000
1164a6038500684
12232b843755848
13b3b198a77b02
144ddc5165a66c
1525196a040dd5
hex1269c09bff78

20245412315000 has 160 divisors (see below), whose sum is σ = 47624567760000. Its totient is φ = 8065867056000.

The previous prime is 20245412314997. The next prime is 20245412315021. The reversal of 20245412315000 is 51321454202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1326777371 + ... + 1326792629.

It is an arithmetic number, because the mean of its divisors is an integer number (297653548500).

Almost surely, 220245412315000 is an apocalyptic number.

20245412315000 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 20245412315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23812283880000).

20245412315000 is an abundant number, since it is smaller than the sum of its proper divisors (27379155445000).

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

20245412315000 is a wasteful number, since it uses less digits than its factorization.

20245412315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16327 (or 16308 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 20245412315000 its reverse (51321454202), we get a palindrome (20296733769202).

The spelling of 20245412315000 in words is "twenty trillion, two hundred forty-five billion, four hundred twelve million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 443 500 599 625 886 1000 1198 1250 1772 2215 2396 2500 2995 3544 4430 4792 5000 5990 8860 11075 11980 14975 15259 17720 22150 23960 29950 30518 44300 55375 59900 61036 74875 76295 88600 110750 119800 122072 149750 152590 221500 265357 276875 299500 305180 374375 381475 443000 530714 553750 599000 610360 748750 762950 1061428 1107500 1326785 1497500 1525900 1907375 2122856 2215000 2653570 2995000 3051800 3814750 5307140 6633925 6759737 7629500 9140141 9536875 10614280 13267850 13519474 15259000 18280282 19073750 26535700 27038948 33169625 33798685 36560564 38147500 45700705 53071400 54077896 66339250 67597370 73121128 76295000 91401410 132678500 135194740 165848125 168993425 182802820 228503525 265357000 270389480 331696250 337986850 365605640 457007050 663392500 675973700 844967125 914014100 1142517625 1326785000 1351947400 1689934250 1828028200 2285035250 3379868500 4049082463 4224835625 4570070500 5712588125 6759737000 8098164926 8449671250 9140141000 11425176250 16196329852 16899342500 20245412315 22850352500 32392659704 33798685000 40490824630 45700705000 80981649260 101227061575 161963298520 202454123150 404908246300 506135307875 809816492600 1012270615750 2024541231500 2530676539375 4049082463000 5061353078750 10122706157500 20245412315000