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1813653838464 = 27313363312067
BaseRepresentation
bin11010011001000110001…
…100010101101010000000
320102101100122200000200120
4122121012030111222000
5214203330340312324
63505103040020240
7245014014160206
oct32310614255200
96371318600616
101813653838464
1163a191345606
122535b9001680
13102046c13070
1463ad1cd7076
153229d5b0179
hex1a646315a80

1813653838464 has 64 divisors (see below), whose sum is σ = 5188096331040. Its totient is φ = 558047333376.

The previous prime is 1813653838463. The next prime is 1813653838511. The reversal of 1813653838464 is 4648383563181.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1813653838398 and 1813653838407.

It is not an unprimeable number, because it can be changed into a prime (1813653838463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181651042 + ... + 181661025.

Almost surely, 21813653838464 is an apocalyptic number.

It is an amenable number.

1813653838464 is an abundant number, since it is smaller than the sum of its proper divisors (3374442492576).

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

1813653838464 is a wasteful number, since it uses less digits than its factorization.

1813653838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363312097 (or 363312085 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 60.

The spelling of 1813653838464 in words is "one trillion, eight hundred thirteen billion, six hundred fifty-three million, eight hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 363312067 726624134 1089936201 1453248268 2179872402 2906496536 4359744804 4723056871 5812993072 8719489608 9446113742 11625986144 14169170613 17438979216 18892227484 23251972288 28338341226 34877958432 37784454968 46503944576 56676682452 69755916864 75568909936 113353364904 139511833728 151137819872 226706729808 302275639744 453413459616 604551279488 906826919232 1813653838464