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20473432064106 = 23771241233312211
BaseRepresentation
bin1001010011110110101111…
…01001010100000001101010
32200111020111200102020101120
410221323113221110001222
510140414042102022411
6111313210450200110
74212104506123230
oct451732751240152
980436450366346
1020473432064106
11658380872801a
122367a7ab83036
13b5683710ab88
1450acc2b8c950
1525786332d106
hex129ed7a5406a

20473432064106 has 128 divisors (see below), whose sum is σ = 47676760952832. Its totient is φ = 5740301952000.

The previous prime is 20473432063993. The next prime is 20473432064147. The reversal of 20473432064106 is 60146023437402.

It is a super-2 number, since 2×204734320641062 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1676632341 + ... + 1676644551.

It is an arithmetic number, because the mean of its divisors is an integer number (372474694944).

Almost surely, 220473432064106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20473432064106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23838380476416).

20473432064106 is an abundant number, since it is smaller than the sum of its proper divisors (27203328888726).

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

20473432064106 is a wasteful number, since it uses less digits than its factorization.

20473432064106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14868.

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 20473432064106 in words is "twenty trillion, four hundred seventy-three billion, four hundred thirty-two million, sixty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 241 426 482 497 723 994 1446 1491 1687 2333 2982 3374 4666 5061 6999 10122 12211 13998 16331 17111 24422 32662 34222 36633 48993 51333 73266 85477 97986 102666 119777 165643 170954 239554 256431 331286 359331 496929 512862 562253 718662 866981 993858 1124506 1159501 1686759 1733962 2319002 2600943 2942851 3373518 3478503 3935771 5201886 5885702 6068867 6957006 7871542 8828553 11807313 12137734 17657106 18206601 20599957 23614626 28488263 36413202 39919963 41199914 56976526 61799871 79839926 85464789 119759889 123599742 170929578 199417841 208942421 239519778 279439741 398835682 417884842 558879482 598253523 626827263 838319223 1196507046 1253654526 1462596947 1676638446 2022666673 2925193894 4045333346 4387790841 6068000019 6865671383 8775581682 12136000038 13731342766 14158666711 20597014149 28317333422 41194028298 42476000133 48059699681 84952000266 96119399362 144179099043 288358198086 487462668193 974925336386 1462388004579 2924776009158 3412238677351 6824477354702 10236716032053 20473432064106