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138046197984 = 253233731619
BaseRepresentation
bin1000000010010000110…
…0011101000011100000
3111012022200021110020120
42000210030131003200
54230204311313414
6143230105040240
712654625215342
oct2004414350340
9435280243216
10138046197984
11535aa530832
1222907486080
131002cb71626
146977d5b292
1538ce4372a9
hex202431d0e0

138046197984 has 192 divisors, whose sum is σ = 384268147200. Its totient is φ = 43384974336.

The previous prime is 138046197977. The next prime is 138046198009. The reversal of 138046197984 is 489791640831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85265527 + ... + 85267145.

It is an arithmetic number, because the mean of its divisors is an integer number (2001396600).

Almost surely, 2138046197984 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 138046197984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192134073600).

138046197984 is an abundant number, since it is smaller than the sum of its proper divisors (246221949216).

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

138046197984 is an equidigital number, since it uses as much as digits as its factorization.

138046197984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 138046197984 in words is "one hundred thirty-eight billion, forty-six million, one hundred ninety-seven thousand, nine hundred eighty-four".