Search a number
-
+
20346396336 = 2432721439419
BaseRepresentation
bin10010111100101111…
…010101111010110000
31221111222100000200200
4102330233111322300
5313132134140321
613202541515200
71320126341520
oct227457257260
957458300620
1020346396336
1186a1012792
123b39b72b00
131bc339b796
14db02d5680
157e1391d26
hex4bcbd5eb0

20346396336 has 120 divisors (see below), whose sum is σ = 65113451520. Its totient is φ = 5809926528.

The previous prime is 20346396307. The next prime is 20346396347. The reversal of 20346396336 is 63369364302.

20346396336 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 6 + 3 + 9 + 633 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20346396291 and 20346396300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2155435 + ... + 2164853.

It is an arithmetic number, because the mean of its divisors is an integer number (542612096).

Almost surely, 220346396336 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 20346396336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32556725760).

20346396336 is an abundant number, since it is smaller than the sum of its proper divisors (44767055184).

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

20346396336 is a wasteful number, since it uses less digits than its factorization.

20346396336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11583 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

The spelling of 20346396336 in words is "twenty billion, three hundred forty-six million, three hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2143 4286 6429 8572 9419 12858 15001 17144 18838 19287 25716 28257 30002 34288 37676 38574 45003 51432 56514 60004 65933 75352 77148 84771 90006 102864 113028 120008 131866 135009 150704 154296 169542 180012 197799 226056 240016 263732 270018 308592 339084 360024 395598 452112 527464 540036 593397 678168 720048 791196 1054928 1080072 1186794 1356336 1582392 2160144 2373588 3164784 4747176 9494352 20184917 40369834 60554751 80739668 121109502 141294419 161479336 181664253 242219004 282588838 322958672 363328506 423883257 484438008 565177676 726657012 847766514 968876016 1130355352 1271649771 1453314024 1695533028 2260710704 2543299542 2906628048 3391066056 5086599084 6782132112 10173198168 20346396336