Search a number
-
+
20215332415350 = 23252372161561839
BaseRepresentation
bin1001001100010101111111…
…01101010010011101110110
32122120120022021101120222100
410212022333231102131312
510122202000044242400
6110554443455042530
74154336532243162
oct446127755223566
978516267346870
1020215332415350
116494302154886
122325a49b10446
13b383b3c89217
144dc5da773ca2
15250ca93d3100
hex1262bfb52776

20215332415350 has 144 divisors (see below), whose sum is σ = 55805659191360. Its totient is φ = 5242622745600.

The previous prime is 20215332415321. The next prime is 20215332415379. The reversal of 20215332415350 is 5351423351202.

20215332415350 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 53 + 32 + 41 + 535 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20215332415321) and next prime (20215332415379).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35699731 + ... + 36261569.

It is an arithmetic number, because the mean of its divisors is an integer number (387539299940).

Almost surely, 220215332415350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20215332415350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27902829595680).

20215332415350 is an abundant number, since it is smaller than the sum of its proper divisors (35590326776010).

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

20215332415350 is a wasteful number, since it uses less digits than its factorization.

20215332415350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564055 (or 564047 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 20215332415350 its reverse (5351423351202), we get a palindrome (25566755766552).

The spelling of 20215332415350 in words is "twenty trillion, two hundred fifteen billion, three hundred thirty-two million, four hundred fifteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2161 2775 3330 4322 5550 6483 8325 10805 12966 16650 19449 21610 32415 38898 54025 64830 79957 97245 108050 159914 162075 194490 239871 324150 399785 479742 486225 561839 719613 799570 972450 1123678 1199355 1439226 1685517 1998925 2398710 2809195 3371034 3598065 3997850 5056551 5618390 5996775 7196130 8427585 10113102 11993550 14045975 16855170 17990325 20788043 25282755 28091950 35980650 41576086 42137925 50565510 62364129 84275850 103940215 124728258 126413775 187092387 207880430 252827550 311820645 374184774 519701075 623641290 935461935 1039402150 1214134079 1559103225 1870923870 2428268158 3118206450 3642402237 4677309675 6070670395 7284804474 9354619350 10927206711 12141340790 18212011185 21854413422 30353351975 36424022370 44922960923 54636033555 60706703950 89845921846 91060055925 109272067110 134768882769 182120111850 224614804615 269537765538 273180167775 404306648307 449229609230 546360335550 673844413845 808613296614 1123074023075 1347688827690 2021533241535 2246148046150 3369222069225 4043066483070 6738444138450 10107666207675 20215332415350