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54508750640 = 24523179359461
BaseRepresentation
bin110010110000111110…
…011000011100110000
312012200210211102202022
4302300332120130300
51343113220010030
641012503411012
73636530510231
oct626076303460
9165623742668
1054508750640
1121131850153
12a692a53a68
1351a8bbb506
1428d1477088
151640610de5
hexcb0f98730

54508750640 has 160 divisors (see below), whose sum is σ = 133641446400. Its totient is φ = 20636380160.

The previous prime is 54508750627. The next prime is 54508750669. The reversal of 54508750640 is 4605780545.

It is a junction number, because it is equal to n+sod(n) for n = 54508750591 and 54508750600.

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, 118240010 + ... + 118240470.

It is an arithmetic number, because the mean of its divisors is an integer number (835259040).

Almost surely, 254508750640 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 54508750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66820723200).

54508750640 is an abundant number, since it is smaller than the sum of its proper divisors (79132695760).

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

54508750640 is a wasteful number, since it uses less digits than its factorization.

54508750640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 44.

The spelling of 54508750640 in words is "fifty-four billion, five hundred eight million, seven hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 179 184 230 358 359 368 460 461 716 718 895 920 922 1432 1436 1790 1795 1840 1844 2305 2864 2872 3580 3590 3688 4117 4610 5744 7160 7180 7376 8234 8257 9220 10603 14320 14360 16468 16514 18440 20585 21206 28720 32936 33028 36880 41170 41285 42412 53015 64261 65872 66056 82340 82519 82570 84824 106030 128522 132112 164680 165038 165140 165499 169648 212060 257044 321305 329360 330076 330280 330998 412595 424120 514088 642610 660152 660560 661996 825190 827495 848240 1028176 1285220 1320304 1323992 1478003 1650380 1654990 1897937 2570440 2647984 2956006 3300760 3309980 3795874 3806477 5140880 5912012 6601520 6619960 7390015 7591748 7612954 9489685 11824024 13239920 14780030 15183496 15225908 18979370 19032385 23648048 29560060 29624321 30366992 30451816 37958740 38064770 59120120 59248642 60903632 75917480 76129540 118240240 118497284 148121605 151834960 152259080 236994568 296243210 304518160 473989136 592486420 681359383 1184972840 1362718766 2369945680 2725437532 3406796915 5450875064 6813593830 10901750128 13627187660 27254375320 54508750640