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385326640413 = 3211135933115331
BaseRepresentation
bin1011001101101110100…
…00011110110100011101
31100211121002001110201100
411212313100132310131
522303122104443123
6453003331103313
736560516255001
oct5466720366435
91324532043640
10385326640413
11139463930140
1262819141b39
132a44a689b50
14149154c8701
15a053606643
hex59b741ed1d

385326640413 has 96 divisors (see below), whose sum is σ = 667022952960. Its totient is φ = 211259664000.

The previous prime is 385326640411. The next prime is 385326640459. The reversal of 385326640413 is 314046623583.

385326640413 is a `hidden beast` number, since 3 + 8 + 532 + 66 + 40 + 4 + 13 = 666.

It is not a de Polignac number, because 385326640413 - 21 = 385326640411 is a prime.

It is a super-3 number, since 3×3853266404133 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385326640411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25126158 + ... + 25141488.

It is an arithmetic number, because the mean of its divisors is an integer number (6948155760).

Almost surely, 2385326640413 is an apocalyptic number.

385326640413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

385326640413 is a deficient number, since it is larger than the sum of its proper divisors (281696312547).

385326640413 is a wasteful number, since it uses less digits than its factorization.

385326640413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15751 (or 15748 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 385326640413 in words is "three hundred eighty-five billion, three hundred twenty-six million, six hundred forty thousand, four hundred thirteen".

Divisors: 1 3 9 11 13 33 39 59 99 117 143 177 331 429 531 649 767 993 1287 1947 2301 2979 3641 4303 5841 6903 8437 10923 12909 15331 19529 25311 32769 38727 45993 47333 58587 75933 137979 141999 168641 175761 199303 214819 253877 425997 505923 597909 644457 761631 904529 1517769 1793727 1933371 2192333 2284893 2713587 2792647 5074561 6576999 8140761 8377941 9949819 11758877 15223683 19730997 25133823 29849457 35276631 45671049 55820171 65969293 89548371 105829893 129347647 167460513 197907879 299399099 388042941 502381539 593723637 725662223 898197297 1164128823 2176986669 2694591891 3293390089 3892188287 6530960007 9880170267 11676564861 29640510801 35029694583 42814071157 128442213471 385326640413