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1327983993477 = 342313722722921
BaseRepresentation
bin10011010100110010000…
…000111010001010000101
311200221202111011121120000
4103110302000322022011
5133224202400242402
62454022321431513
7164641452461241
oct23246200721205
94627674147500
101327983993477
11472216386729
1219545719b599
13982c78cc66b
14483bbd6d421
1524825a78c1c
hex1353203a285

1327983993477 has 80 divisors (see below), whose sum is σ = 2094416514432. Its totient is φ = 836909314560.

The previous prime is 1327983993451. The next prime is 1327983993493. The reversal of 1327983993477 is 7743993897231.

1327983993477 is a `hidden beast` number, since 1 + 3 + 2 + 79 + 83 + 9 + 9 + 3 + 477 = 666.

It is not a de Polignac number, because 1327983993477 - 214 = 1327983977093 is a prime.

It is a super-2 number, since 2×13279839934772 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327983993437) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57925977 + ... + 57948897.

Almost surely, 21327983993477 is an apocalyptic number.

It is an amenable number.

1327983993477 is a deficient number, since it is larger than the sum of its proper divisors (766432520955).

1327983993477 is a wasteful number, since it uses less digits than its factorization.

1327983993477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23320 (or 23311 counting only the distinct ones).

The product of its digits is 432081216, while the sum is 72.

The spelling of 1327983993477 in words is "one trillion, three hundred twenty-seven billion, nine hundred eighty-three million, nine hundred ninety-three thousand, four hundred seventy-seven".

Divisors: 1 3 9 23 27 69 81 137 207 227 411 621 681 1233 1863 2043 3151 3699 5221 6129 9453 11097 15663 18387 22921 28359 31099 46989 68763 85077 93297 140967 206289 255231 279891 422901 527183 618867 715277 839673 1581549 1856601 2145831 2519019 3140177 4744647 5203067 6437493 9420531 14233941 15609201 19312479 28261593 42701823 46827603 57937437 72224071 84784779 119670541 140482809 216672213 254354337 359011623 421448427 650016639 712820179 1077034869 1950049917 2138460537 3231104607 5850149751 6415381611 9693313821 16394864117 19246144833 49184592351 57738434499 147553777053 442661331159 1327983993477