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20616971424 = 253749961483
BaseRepresentation
bin10011001100110111…
…100000010010100000
31222012211110122221020
4103030313200102200
5314210421041144
613245445125440
71326623236260
oct231467402240
958184418836
1020616971424
11881a819865
123bb46b9880
131c3746629a
14dd82097a0
15809edc419
hex4ccde04a0

20616971424 has 96 divisors (see below), whose sum is σ = 61975872000. Its totient is φ = 5878662912.

The previous prime is 20616971423. The next prime is 20616971461. The reversal of 20616971424 is 42417961602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20616971423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304587 + ... + 366069.

It is an arithmetic number, because the mean of its divisors is an integer number (645582000).

Almost surely, 220616971424 is an apocalyptic number.

20616971424 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 20616971424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30987936000).

20616971424 is an abundant number, since it is smaller than the sum of its proper divisors (41358900576).

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

20616971424 is a wasteful number, since it uses less digits than its factorization.

20616971424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62002 (or 61994 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 20616971424 in words is "twenty billion, six hundred sixteen million, nine hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 499 672 998 1497 1996 2994 3493 3992 5988 6986 7984 10479 11976 13972 15968 20958 23952 27944 41916 47904 55888 61483 83832 111776 122966 167664 184449 245932 335328 368898 430381 491864 737796 860762 983728 1291143 1475592 1721524 1967456 2582286 2951184 3443048 5164572 5902368 6886096 10329144 13772192 20658288 30680017 41316576 61360034 92040051 122720068 184080102 214760119 245440136 368160204 429520238 490880272 644280357 736320408 859040476 981760544 1288560714 1472640816 1718080952 2577121428 2945281632 3436161904 5154242856 6872323808 10308485712 20616971424