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20364335432 = 23719533311091
BaseRepresentation
bin10010111101110011…
…110001100101001000
31221120020002102111122
4102331303301211020
5313201232213212
613204422214412
71320434665220
oct227563614510
957506072448
1020364335432
118700155691
123b43b84408
131bc700cb2c
14db2845080
157e2c37272
hex4bdcf1948

20364335432 has 128 divisors (see below), whose sum is σ = 46985702400. Its totient is φ = 8080300800.

The previous prime is 20364335419. The next prime is 20364335461. The reversal of 20364335432 is 23453346302.

It is a junction number, because it is equal to n+sod(n) for n = 20364335392 and 20364335401.

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, 18665207 + ... + 18666297.

It is an arithmetic number, because the mean of its divisors is an integer number (367075800).

Almost surely, 220364335432 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 20364335432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23492851200).

20364335432 is an abundant number, since it is smaller than the sum of its proper divisors (26621366968).

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

20364335432 is a wasteful number, since it uses less digits than its factorization.

20364335432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 35.

The spelling of 20364335432 in words is "twenty billion, three hundred sixty-four million, three hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 53 56 76 106 133 152 212 266 331 371 424 532 662 742 1007 1064 1091 1324 1484 2014 2182 2317 2648 2968 4028 4364 4634 6289 7049 7637 8056 8728 9268 12578 14098 15274 17543 18536 20729 25156 28196 30548 35086 41458 44023 50312 56392 57823 61096 70172 82916 88046 115646 122801 140344 145103 165832 176092 231292 245602 290206 333317 352184 361121 404761 462584 491204 580412 666634 722242 809522 982408 1098637 1160824 1333268 1444484 1619044 2197274 2333219 2527847 2666536 2888968 3238088 4394548 4666438 5055694 6861299 7690459 8789096 9332876 10111388 13722598 15380918 18665752 19139413 20222776 27445196 30761836 38278826 48029093 54890392 61523672 76557652 96058186 133975891 153115304 192116372 267951782 363648847 384232744 535903564 727297694 1071807128 1454595388 2545541929 2909190776 5091083858 10182167716 20364335432