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15320772156144 = 24371323190180221
BaseRepresentation
bin1101111011110010010100…
…1011101001101011110000
32000020122120221202021100010
43132330211023221223300
54002003420132444034
652330133210054520
73140614005424110
oct336744513515360
960218527667303
1015320772156144
11497755951a174
12187532771a440
138719866aa430
143ad75a69b040
151b87dd7663e9
hexdef252e9af0

15320772156144 has 320 divisors, whose sum is σ = 50857492912128. Its totient is φ = 3862881792000.

The previous prime is 15320772156139. The next prime is 15320772156229. The reversal of 15320772156144 is 44165127702351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 15320772156093 and 15320772156102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190941954 + ... + 191022174.

Almost surely, 215320772156144 is an apocalyptic number.

15320772156144 is a gapful number since it is divisible by the number (14) 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 15320772156144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25428746456064).

15320772156144 is an abundant number, since it is smaller than the sum of its proper divisors (35536720755984).

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

15320772156144 is a wasteful number, since it uses less digits than its factorization.

15320772156144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82176 (or 82170 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

Adding to 15320772156144 its reverse (44165127702351), we get a palindrome (59485899858495).

The spelling of 15320772156144 in words is "fifteen trillion, three hundred twenty billion, seven hundred seventy-two million, one hundred fifty-six thousand, one hundred forty-four".