Search a number
-
+
139522376448 = 28337132113151
BaseRepresentation
bin1000000111110000101…
…1101000001100000000
3111100010112222002102000
42001330023220030000
54241220212021243
6144032400424000
713036331426550
oct2017413501400
9440115862360
10139522376448
1154197820534
1223059918000
1310206942c00
146a7801d160
153968d285d3
hex207c2e8300

139522376448 has 864 divisors, whose sum is σ = 518525844480. Its totient is φ = 36229939200.

The previous prime is 139522376429. The next prime is 139522376491. The reversal of 139522376448 is 844673225931.

139522376448 is a `hidden beast` number, since 1 + 3 + 9 + 522 + 3 + 76 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 139522376394 and 139522376403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 923989173 + ... + 923989323.

Almost surely, 2139522376448 is an apocalyptic number.

139522376448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139522376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259262922240).

139522376448 is an abundant number, since it is smaller than the sum of its proper divisors (379003468032).

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

139522376448 is a wasteful number, since it uses less digits than its factorization.

139522376448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 289 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 139522376448 in words is "one hundred thirty-nine billion, five hundred twenty-two million, three hundred seventy-six thousand, four hundred forty-eight".