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55136405140 = 22519436750363
BaseRepresentation
bin110011010110011000…
…101100011010010100
312021022112212120212021
4303112120230122110
51400404404431030
641155044302524
73661221465565
oct632630543224
9167275776767
1055136405140
1121424077283
12a8290a1a44
135278c4a5cb
14295097c16c
15167a79297a
hexcd662c694

55136405140 has 96 divisors (see below), whose sum is σ = 126578833920. Its totient is φ = 20102898816.

The previous prime is 55136405131. The next prime is 55136405153. The reversal of 55136405140 is 4150463155.

It is a junction number, because it is equal to n+sod(n) for n = 55136405096 and 55136405105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069599 + ... + 1119961.

It is an arithmetic number, because the mean of its divisors is an integer number (1318529520).

Almost surely, 255136405140 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 55136405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63289416960).

55136405140 is an abundant number, since it is smaller than the sum of its proper divisors (71442428780).

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

55136405140 is a wasteful number, since it uses less digits than its factorization.

55136405140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50501 (or 50499 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 55136405140 its reverse (4150463155), we get a palindrome (59286868295).

The spelling of 55136405140 in words is "fifty-five billion, one hundred thirty-six million, four hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 67 76 86 95 134 172 190 215 268 335 380 430 670 817 860 1273 1340 1634 2546 2881 3268 4085 5092 5762 6365 8170 11524 12730 14405 16340 25460 28810 50363 54739 57620 100726 109478 201452 218956 251815 273695 503630 547390 956897 1007260 1094780 1913794 2165609 3374321 3827588 4331218 4784485 6748642 8662436 9568970 10828045 13497284 16871605 19137940 21656090 33743210 41146571 43312180 64112099 67486420 82293142 128224198 145095803 164586284 205732855 256448396 290191606 320560495 411465710 580383212 641120990 725479015 822931420 1282241980 1450958030 2756820257 2901916060 5513640514 11027281028 13784101285 27568202570 55136405140