Search a number
-
+
1561744137540 = 2235113806928547
BaseRepresentation
bin10110101110011111001…
…101000101110101000100
312112022010122010022101110
4112232133031011311010
5201041422444400130
63153242204525020
7220555322065236
oct26563715056504
95468118108343
101561744137540
1155237193a834
12212814b50770
13b436c304c32
1455835a14256
152a957cbdab0
hex16b9f345d44

1561744137540 has 96 divisors (see below), whose sum is σ = 4412282958720. Its totient is φ = 412713957376.

The previous prime is 1561744137533. The next prime is 1561744137559. The reversal of 1561744137540 is 457314471651.

It is a super-2 number, since 2×15617441375402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1561744137540.

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, 54693547 + ... + 54722093.

It is an arithmetic number, because the mean of its divisors is an integer number (45961280820).

Almost surely, 21561744137540 is an apocalyptic number.

1561744137540 is a gapful number since it is divisible by the number (10) 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 1561744137540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206141479360).

1561744137540 is an abundant number, since it is smaller than the sum of its proper divisors (2850538821180).

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

1561744137540 is a wasteful number, since it uses less digits than its factorization.

1561744137540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36741 (or 36739 counting only the distinct ones).

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

The spelling of 1561744137540 in words is "one trillion, five hundred sixty-one billion, seven hundred forty-four million, one hundred thirty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 8069 16138 24207 28547 32276 40345 48414 57094 80690 85641 96828 114188 121035 142735 161380 171282 242070 285470 342564 428205 484140 570940 856410 911797 1712820 1823594 2735391 3225811 3647188 4558985 5470782 6451622 9117970 9677433 10941564 12903244 13676955 16129055 18235940 19354866 27353910 32258110 38709732 48387165 54707820 64516220 96774330 193548660 230345743 460691486 691037229 921382972 1151728715 1382074458 2303457430 2764148916 3455186145 4606914860 6910372290 13820744580 26029068959 52058137918 78087206877 104116275836 130145344795 156174413754 260290689590 312348827508 390436034385 520581379180 780872068770 1561744137540