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54125795240 = 23511593316299
BaseRepresentation
bin110010011010001001…
…100001011110101000
312011201010020021200222
4302122021201132220
51341322200421430
640510503345212
73624200445206
oct623211413650
9164633207628
1054125795240
1120a55667090
12a5a6752208
13514776709a
14289666c076
15161bbb79e5
hexc9a2617a8

54125795240 has 128 divisors (see below), whose sum is σ = 135535680000. Its totient is φ = 19286995200.

The previous prime is 54125795239. The next prime is 54125795359. The reversal of 54125795240 is 4259752145.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 54125795191 and 54125795200.

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, 8589611 + ... + 8595909.

It is an arithmetic number, because the mean of its divisors is an integer number (1058872500).

Almost surely, 254125795240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54125795240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67767840000).

54125795240 is an abundant number, since it is smaller than the sum of its proper divisors (81409884760).

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

54125795240 is a wasteful number, since it uses less digits than its factorization.

54125795240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6711 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 54125795240 in words is "fifty-four billion, one hundred twenty-five million, seven hundred ninety-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 331 440 472 590 649 662 1180 1298 1324 1655 2360 2596 2648 3245 3310 3641 5192 6299 6490 6620 7282 12598 12980 13240 14564 18205 19529 25196 25960 29128 31495 36410 39058 50392 62990 69289 72820 78116 97645 125980 138578 145640 156232 195290 214819 251960 277156 346445 371641 390580 429638 554312 692890 743282 781160 859276 1074095 1385780 1486564 1718552 1858205 2084969 2148190 2771560 2973128 3716410 4088051 4169938 4296380 7432820 8176102 8339876 8592760 10424845 14865640 16352204 16679752 20440255 20849690 22934659 32704408 40880510 41699380 45869318 81761020 83398760 91738636 114673295 123013171 163522040 183477272 229346590 246026342 458693180 492052684 615065855 917386360 984105368 1230131710 1353144881 2460263420 2706289762 4920526840 5412579524 6765724405 10825159048 13531448810 27062897620 54125795240