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52132401414 = 2343717948589
BaseRepresentation
bin110000100011010101…
…010101000100000110
311222120012022101110000
4300203111111010012
51323231343321124
635541014142130
73523614046332
oct604325250406
9158505271400
1052132401414
1120122421875
12a12b051946
134bba793902
142747a127c2
151551bac6c9
hexc23555106

52132401414 has 80 divisors (see below), whose sum is σ = 120645082800. Its totient is φ = 16813002816.

The previous prime is 52132401383. The next prime is 52132401443. The reversal of 52132401414 is 41410423125.

52132401414 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 240 + 1 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1048632 + ... + 1097220.

It is an arithmetic number, because the mean of its divisors is an integer number (1508063535).

Almost surely, 252132401414 is an apocalyptic number.

52132401414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52132401414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60322541400).

52132401414 is an abundant number, since it is smaller than the sum of its proper divisors (68512681386).

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

52132401414 is a wasteful number, since it uses less digits than its factorization.

52132401414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48819 (or 48810 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 52132401414 its reverse (41410423125), we get a palindrome (93542824539).

The spelling of 52132401414 in words is "fifty-two billion, one hundred thirty-two million, four hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 179 222 333 358 537 666 999 1074 1611 1998 2997 3222 4833 5994 6623 9666 13246 14499 19869 28998 39738 48589 59607 97178 119214 145767 178821 291534 357642 437301 536463 874602 1072926 1311903 1797793 2623806 3595586 3935709 5393379 7871418 8697431 10786758 16180137 17394862 26092293 32360274 48540411 52184586 78276879 97080822 145621233 156553758 234830637 291242466 321804947 469661274 643609894 704491911 965414841 1408983822 1930829682 2896244523 5792489046 8688733569 17377467138 26066200707 52132401414