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20352011064 = 23371147234319
BaseRepresentation
bin10010111101000100…
…110000101100111000
31221112100220021122120
4102331010300230320
5313140103323224
613203302121240
71320225145140
oct227504605470
957470807576
1020352011064
1186a41a8160
123b3ba20220
131bc45b62c8
14db0d57920
157e1b00779
hex4bd130b38

20352011064 has 128 divisors (see below), whose sum is σ = 64784793600. Its totient is φ = 5173741440.

The previous prime is 20352011051. The next prime is 20352011083. The reversal of 20352011064 is 46011025302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 30304 + ... + 204015.

It is an arithmetic number, because the mean of its divisors is an integer number (506131200).

Almost surely, 220352011064 is an apocalyptic number.

20352011064 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 20352011064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32392396800).

20352011064 is an abundant number, since it is smaller than the sum of its proper divisors (44432782536).

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

20352011064 is a wasteful number, since it uses less digits than its factorization.

20352011064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234393 (or 234389 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 20352011064 its reverse (46011025302), we get a palindrome (66363036366).

The spelling of 20352011064 in words is "twenty billion, three hundred fifty-two million, eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 47 56 66 77 84 88 94 132 141 154 168 188 231 264 282 308 329 376 462 517 564 616 658 924 987 1034 1128 1316 1551 1848 1974 2068 2632 3102 3619 3948 4136 6204 7238 7896 10857 12408 14476 21714 28952 43428 86856 234319 468638 702957 937276 1405914 1640233 1874552 2577509 2811828 3280466 4920699 5155018 5623656 6560932 7732527 9841398 10310036 11012993 13121864 15465054 18042563 19682796 20620072 22025986 30930108 33038979 36085126 39365592 44051972 54127689 61860216 66077958 72170252 77090951 88103944 108255378 121142923 132155916 144340504 154181902 216510756 231272853 242285846 264311832 308363804 363428769 433021512 462545706 484571692 616727608 726857538 848000461 925091412 969143384 1453715076 1696000922 1850182824 2544001383 2907430152 3392001844 5088002766 6784003688 10176005532 20352011064