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20873917504512 = 2103214551155657
BaseRepresentation
bin1001011111100000101100…
…11100000001110000000000
32201220112020012102112102200
410233300112130001300000
510213444240340121022
6112221202331113200
74253043064161342
oct457602634016000
981815205375380
1020873917504512
116718640281a36
1224116088a2800
13b8552c1a4257
145224355d7292
15262ea2665bac
hex12fc16701c00

20873917504512 has 132 divisors (see below), whose sum is σ = 60277513232976. Its totient is φ = 6957449625600.

The previous prime is 20873917504507. The next prime is 20873917504523. The reversal of 20873917504512 is 21540571937802.

20873917504512 is a `hidden beast` number, since 2 + 0 + 8 + 73 + 9 + 1 + 7 + 50 + 4 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134024188 + ... + 134179844.

Almost surely, 220873917504512 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 20873917504512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30138756616488).

20873917504512 is an abundant number, since it is smaller than the sum of its proper divisors (39403595728464).

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

20873917504512 is a wasteful number, since it uses less digits than its factorization.

20873917504512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170234 (or 170213 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 20873917504512 in words is "twenty trillion, eight hundred seventy-three billion, nine hundred seventeen million, five hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 14551 29102 43653 58204 87306 116408 130959 155657 174612 232816 261918 311314 349224 465632 466971 523836 622628 698448 931264 933942 1047672 1245256 1396896 1400913 1862528 1867884 2095344 2490512 2793792 2801826 3725056 3735768 4190688 4981024 5587584 5603652 7450112 7471536 8381376 9962048 11175168 11207304 14900224 14943072 16762752 19924096 22350336 22414608 29886144 33525504 39848192 44700672 44829216 59772288 67051008 79696384 89658432 119544576 134102016 159392768 179316864 239089152 358633728 478178304 717267456 1434534912 2264965007 4529930014 6794895021 9059860028 13589790042 18119720056 20384685063 27179580084 36239440112 40769370126 54359160168 72478880224 81538740252 108718320336 144957760448 163077480504 217436640672 289915520896 326154961008 434873281344 579831041792 652309922016 869746562688 1159662083584 1304619844032 1739493125376 2319324167168 2609239688064 3478986250752 5218479376128 6957972501504 10436958752256 20873917504512