Search a number
-
+
2590125472440 = 2332511259461099
BaseRepresentation
bin100101101100001111100…
…000100011101010111000
3100011121120022000221011100
4211230033200203222320
5314414034110104230
65301515345531400
7355062503154012
oct45541740435270
910147508027140
102590125472440
11909514339700
12359b97943b60
1315a32b4c615c
148d5115131b2
1547595ec4660
hex25b0f823ab8

2590125472440 has 144 divisors (see below), whose sum is σ = 9252741771000. Its totient is φ = 627909194880.

The previous prime is 2590125472421. The next prime is 2590125472481. The reversal of 2590125472440 is 442745210952.

2590125472440 is a `hidden beast` number, since 2 + 5 + 90 + 1 + 2 + 54 + 72 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29686990 + ... + 29774109.

Almost surely, 22590125472440 is an apocalyptic number.

2590125472440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590125472440 is an abundant number, since it is smaller than the sum of its proper divisors (6662616298560).

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

2590125472440 is a wasteful number, since it uses less digits than its factorization.

2590125472440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59461138 (or 59461120 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2590125472440 in words is "two trillion, five hundred ninety billion, one hundred twenty-five million, four hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 59461099 118922198 178383297 237844396 297305495 356766594 475688792 535149891 594610990 654072089 713533188 891916485 1070299782 1189221980 1308144178 1427066376 1783832970 1962216267 2140599564 2378443960 2616288356 2675749455 3270360445 3567665940 3924432534 4281199128 5232576712 5351498910 5886648801 6540720890 7135331880 7194792979 7848865068 9811081335 10702997820 11773297602 13081441780 14389585958 15697730136 19622162670 21405995640 21584378937 23546595204 26162883560 28779171916 29433244005 35973964895 39244325340 43168757874 47093190408 57558343832 58866488010 64753136811 71947929790 78488650680 86337515748 107921894685 117732976020 129506273622 143895859580 172675031496 215843789370 235465952040 259012547244 287791719160 323765684055 431687578740 518025094488 647531368110 863375157480 1295062736220 2590125472440