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20435653061404 = 22731792571159601
BaseRepresentation
bin1001010010110000010111…
…10101110110101100011100
32200100121222210120001102021
410221120023311312230130
510134304204140431104
6111244002011105524
74206266350653220
oct451301365665434
980317883501367
1020435653061404
116569791440139
122360696a422a4
13b530c622c2c9
1450913b566780
152568a180e754
hex12960bd76b1c

20435653061404 has 96 divisors (see below), whose sum is σ = 42890060021760. Its totient is φ = 8335761408000.

The previous prime is 20435653061377. The next prime is 20435653061437. The reversal of 20435653061404 is 40416035653402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17043204 + ... + 18202804.

It is an arithmetic number, because the mean of its divisors is an integer number (446771458560).

Almost surely, 220435653061404 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 20435653061404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21445030010880).

20435653061404 is an abundant number, since it is smaller than the sum of its proper divisors (22454406960356).

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

20435653061404 is a wasteful number, since it uses less digits than its factorization.

20435653061404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159979 (or 1159977 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 20435653061404 in words is "twenty trillion, four hundred thirty-five billion, six hundred fifty-three million, sixty-one thousand, four hundred four".

Divisors: 1 2 4 7 14 28 31 62 79 124 158 217 257 316 434 514 553 868 1028 1106 1799 2212 2449 3598 4898 7196 7967 9796 15934 17143 20303 31868 34286 40606 55769 68572 81212 111538 142121 223076 284242 568484 629393 1159601 1258786 2319202 2517572 4405751 4638404 8117207 8811502 16234414 17623004 32468828 35947631 71895262 91608479 143790524 183216958 251633417 298017457 366433916 503266834 596034914 641259353 1006533668 1192069828 1282518706 2086122199 2565037412 2839862849 4172244398 5679725698 8344488796 9238541167 11359451396 18477082334 19879039943 23543379103 36954164668 39758079886 47086758206 64669788169 79516159772 94173516412 129339576338 164803653721 258679152676 329607307442 659214614884 729844752193 1459689504386 2919379008772 5108913265351 10217826530702 20435653061404