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388326987972 = 2233711160129167
BaseRepresentation
bin1011010011010100001…
…01111001100011000100
31101010100011201220211000
411221222011321203010
522330243202103342
6454221151013300
740025050635660
oct5515205714304
91333304656730
10388326987972
1113a763508720
1263315b0a230
132a808163631
1414b1bb818a0
15a17bc1844c
hex5a6a1798c4

388326987972 has 192 divisors, whose sum is σ = 1256025415680. Its totient is φ = 100797696000.

The previous prime is 388326987967. The next prime is 388326987973. The reversal of 388326987972 is 279789623883.

388326987972 is a `hidden beast` number, since 3 + 88 + 326 + 98 + 79 + 72 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 388326987972.

It is not an unprimeable number, because it can be changed into a prime (388326987973) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13299333 + ... + 13328499.

It is an arithmetic number, because the mean of its divisors is an integer number (6541799040).

Almost surely, 2388326987972 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 388326987972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628012707840).

388326987972 is an abundant number, since it is smaller than the sum of its proper divisors (867698427708).

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

388326987972 is a wasteful number, since it uses less digits than its factorization.

388326987972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30799 (or 30791 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 388326987972 in words is "three hundred eighty-eight billion, three hundred twenty-six million, nine hundred eighty-seven thousand, nine hundred seventy-two".