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1561125104 = 2472111571153
BaseRepresentation
bin101110100001100…
…1110000011110000
311000210112101001022
41131003032003300
511144122000404
6414524155012
753454226100
oct13503160360
94023471038
101561125104
1173123a440
12376998a68
131bb574386
1410b495200
15920c08be
hex5d0ce0f0

1561125104 has 120 divisors (see below), whose sum is σ = 3866167728. Its totient is φ = 603832320.

The previous prime is 1561125043. The next prime is 1561125107. The reversal of 1561125104 is 4015211651.

It is a super-2 number, since 2×15611251042 = 4874223180678021632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561125107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1353392 + ... + 1354544.

Almost surely, 21561125104 is an apocalyptic number.

1561125104 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 1561125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933083864).

1561125104 is an abundant number, since it is smaller than the sum of its proper divisors (2305042624).

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

1561125104 is a wasteful number, since it uses less digits than its factorization.

1561125104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 1561125104 is about 39511.0757130200. The cubic root of 1561125104 is about 1160.0567510879.

Adding to 1561125104 its reverse (4015211651), we get a palindrome (5576336755).

The spelling of 1561125104 in words is "one billion, five hundred sixty-one million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 157 176 196 308 314 392 539 616 628 784 1078 1099 1153 1232 1256 1727 2156 2198 2306 2512 3454 4312 4396 4612 6908 7693 8071 8624 8792 9224 12089 12683 13816 15386 16142 17584 18448 24178 25366 27632 30772 32284 48356 50732 56497 61544 64568 84623 88781 96712 101464 112994 123088 129136 169246 177562 181021 193424 202928 225988 338492 355124 362042 451976 621467 676984 710248 724084 903952 1242934 1267147 1353968 1420496 1448168 1991231 2485868 2534294 2896336 3982462 4971736 5068588 7964924 8870029 9943472 10137176 13938617 15929848 17740058 20274352 27877234 31859696 35480116 55754468 70960232 97570319 111508936 141920464 195140638 223017872 390281276 780562552 1561125104