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20512062432 = 253344353591
BaseRepresentation
bin10011000110100111…
…010011101111100000
31221221112001201212000
4103012213103233200
5314002041444212
613231220404000
71324210440201
oct230647235740
957845051760
1020512062432
118776585114
123b85546600
131c1b7c4264
14dc82db5a8
15800bb81dc
hex4c69d3be0

20512062432 has 96 divisors (see below), whose sum is σ = 59963016960. Its totient is φ = 6821792640.

The previous prime is 20512062409. The next prime is 20512062451. The reversal of 20512062432 is 23426021502.

It is a happy number.

20512062432 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 2 + 0 + 624 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20512062396 and 20512062405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355957 + ... + 409547.

It is an arithmetic number, because the mean of its divisors is an integer number (624614760).

Almost surely, 220512062432 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 20512062432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29981508480).

20512062432 is an abundant number, since it is smaller than the sum of its proper divisors (39450954528).

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

20512062432 is a wasteful number, since it uses less digits than its factorization.

20512062432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54053 (or 54039 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20512062432 its reverse (23426021502), we get a palindrome (43938083934).

The spelling of 20512062432 in words is "twenty billion, five hundred twelve million, sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 443 864 886 1329 1772 2658 3544 3987 5316 7088 7974 10632 11961 14176 15948 21264 23922 31896 42528 47844 53591 63792 95688 107182 127584 160773 191376 214364 321546 382752 428728 482319 643092 857456 964638 1286184 1446957 1714912 1929276 2572368 2893914 3858552 5144736 5787828 7717104 11575656 15434208 23151312 23740813 46302624 47481626 71222439 94963252 142444878 189926504 213667317 284889756 379853008 427334634 569779512 641001951 759706016 854669268 1139559024 1282003902 1709338536 2279118048 2564007804 3418677072 5128015608 6837354144 10256031216 20512062432