Search a number
-
+
2252463674040 = 233352779375041
BaseRepresentation
bin100000110001110001010…
…011000001001010111000
321222100000001210022112000
4200301301103001022320
5243401021200032130
64442433441421000
7321510102216666
oct40616123011270
97870001708460
102252463674040
117992a0027888
1230466163a760
13134538b74248
147b03c577c36
153d8d2249260
hex20c714c12b8

2252463674040 has 128 divisors (see below), whose sum is σ = 7508582452800. Its totient is φ = 600627363840.

The previous prime is 2252463673973. The next prime is 2252463674093. The reversal of 2252463674040 is 404763642522.

2252463674040 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 4 + 636 + 7 + 4 + 0 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 15008212-1.

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 31 ways as a sum of consecutive naturals, for example, 29978920 + ... + 30053960.

Almost surely, 22252463674040 is an apocalyptic number.

2252463674040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252463674040 is an abundant number, since it is smaller than the sum of its proper divisors (5256118778760).

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

2252463674040 is a wasteful number, since it uses less digits than its factorization.

2252463674040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102854 (or 102844 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 2252463674040 in words is "two trillion, two hundred fifty-two billion, four hundred sixty-three million, six hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 27793 55586 75041 83379 111172 138965 150082 166758 222344 225123 250137 277930 300164 333516 375205 416895 450246 500274 555860 600328 667032 675369 750410 750411 833790 900492 1000548 1111720 1125615 1250685 1350738 1500820 1500822 1667580 1800984 2001096 2026107 2251230 2501370 2701476 3001640 3001644 3335160 3376845 3752055 4052214 4502460 5002740 5402952 6003288 6753690 7504110 8104428 9004920 10005480 10130535 13507380 15008220 16208856 20261070 27014760 30016440 40522140 81044280 2085614513 4171229026 6256843539 8342458052 10428072565 12513687078 16684916104 18770530617 20856145130 25027374156 31284217695 37541061234 41712290260 50054748312 56311591851 62568435390 75082122468 83424580520 93852653085 112623183702 125136870780 150164244936 187705306170 225246367404 250273741560 281557959255 375410612340 450492734808 563115918510 750821224680 1126231837020 2252463674040