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15553137140 = 2251797471593
BaseRepresentation
bin11100111110000101…
…00000100111110100
31111010220222020012022
432133002200213310
5223323100342030
611051153412312
71060264325102
oct163702404764
944126866168
1015553137140
116661382152
12302086a098
13160b317438
14a7788cc72
15610676de5
hex39f0a09f4

15553137140 has 48 divisors (see below), whose sum is σ = 34939456272. Its totient is φ = 5794922496.

The previous prime is 15553137113. The next prime is 15553137143. The reversal of 15553137140 is 4173135551.

15553137140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1142575204 + 14410561936 = 33802^2 + 120044^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15553137140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15553137143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202817 + ... + 268776.

It is an arithmetic number, because the mean of its divisors is an integer number (727905339).

Almost surely, 215553137140 is an apocalyptic number.

15553137140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15553137140 is an abundant number, since it is smaller than the sum of its proper divisors (19386319132).

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

15553137140 is a wasteful number, since it uses less digits than its factorization.

15553137140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471716 (or 471714 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The spelling of 15553137140 in words is "fifteen billion, five hundred fifty-three million, one hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 6596 8245 16490 32980 471593 943186 1886372 2357965 4715930 8017081 9431860 16034162 32068324 40085405 45744521 80170810 91489042 160341620 182978084 228722605 457445210 777656857 914890420 1555313714 3110627428 3888284285 7776568570 15553137140