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20312501431152 = 2437533389336571
BaseRepresentation
bin1001001111001010111110…
…11011101010101101110000
32122220212010011001000222110
410213211133123222231300
510130300000331244102
6111111233452205320
74164346502245350
oct447453733525560
978825104030873
1020312501431152
11652153556a617
122340847769840
13b445cb110788
145031b7826b60
15253594d1286c
hex12795f6eab70

20312501431152 has 160 divisors (see below), whose sum is σ = 61119967357440. Its totient is φ = 5692373406720.

The previous prime is 20312501431147. The next prime is 20312501431169. The reversal of 20312501431152 is 25113410521302.

It is a happy number.

It is a congruent number.

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, 60183027 + ... + 60519597.

It is an arithmetic number, because the mean of its divisors is an integer number (381999795984).

Almost surely, 220312501431152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312501431152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30559983678720).

20312501431152 is an abundant number, since it is smaller than the sum of its proper divisors (40807465926288).

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

20312501431152 is a wasteful number, since it uses less digits than its factorization.

20312501431152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340031 (or 340025 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 20312501431152 its reverse (25113410521302), we get a palindrome (45425911952454).

The spelling of 20312501431152 in words is "twenty trillion, three hundred twelve billion, five hundred one million, four hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 3389 4452 5936 6778 8904 10167 13556 17808 20334 23723 27112 40668 47446 54224 71169 81336 94892 142338 162672 179617 189784 284676 336571 359234 379568 538851 569352 673142 718468 1009713 1077702 1138704 1257319 1346284 1436936 2019426 2155404 2355997 2514638 2692568 2873872 3771957 4038852 4310808 4711994 5029276 5385136 7067991 7543914 8077704 8621616 9423988 10058552 14135982 15087828 16155408 17838263 18847976 20117104 28271964 30175656 35676526 37695952 53514789 56543928 60351312 71353052 107029578 113087856 124867841 142706104 214059156 249735682 285412208 374603523 428118312 499471364 749207046 856236624 998942728 1140639119 1498414092 1997885456 2281278238 2996828184 3421917357 4562556476 5993656368 6843834714 7984473833 9125112952 13687669428 15968947666 18250225904 23953421499 27375338856 31937895332 47906842998 54750677712 60453873307 63875790664 95813685996 120907746614 127751581328 181361619921 191627371992 241815493228 362723239842 383254743984 423177113149 483630986456 725446479684 846354226298 967261972912 1269531339447 1450892959368 1692708452596 2539062678894 2901785918736 3385416905192 5078125357788 6770833810384 10156250715576 20312501431152