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20420034024 = 23313174917841
BaseRepresentation
bin10011000001001000…
…001111110111101000
31221201002220012121110
4103001020033313220
5313310012042044
613214132110320
71322012265615
oct230110176750
957632805543
1020420034024
118729638885
123b5a7653a0
131c05711c90
14db9dc350c
157e7a8a6b9
hex4c120fde8

20420034024 has 128 divisors (see below), whose sum is σ = 58336951680. Its totient is φ = 5900697600.

The previous prime is 20420034017. The next prime is 20420034029. The reversal of 20420034024 is 42043002402.

It is not an unprimeable number, because it can be changed into a prime (20420034029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2600344 + ... + 2608184.

It is an arithmetic number, because the mean of its divisors is an integer number (455757435).

Almost surely, 220420034024 is an apocalyptic number.

20420034024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20420034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29168475840).

20420034024 is an abundant number, since it is smaller than the sum of its proper divisors (37916917656).

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

20420034024 is a wasteful number, since it uses less digits than its factorization.

20420034024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8371 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 20420034024 its reverse (42043002402), we get a palindrome (62463036426).

The spelling of 20420034024 in words is "twenty billion, four hundred twenty million, thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 491 663 884 982 1326 1473 1768 1964 2652 2946 3928 5304 5892 6383 7841 8347 11784 12766 15682 16694 19149 23523 25041 25532 31364 33388 38298 47046 50082 51064 62728 66776 76596 94092 100164 101933 108511 133297 153192 188184 200328 203866 217022 266594 305799 325533 399891 407732 434044 533188 611598 651066 799782 815464 868088 1066376 1223196 1302132 1599564 1732861 2446392 2604264 3199128 3465722 3849931 5198583 6931444 7699862 10397166 11549793 13862888 15399724 20794332 23099586 30799448 41588664 46199172 50049103 65448827 92398344 100098206 130897654 150147309 196346481 200196412 261795308 300294618 392692962 400392824 523590616 600589236 785385924 850834751 1201178472 1570771848 1701669502 2552504253 3403339004 5105008506 6806678008 10210017012 20420034024