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54908197950 = 23523715165519
BaseRepresentation
bin110011001000110010…
…001001110000111110
312020201122110110110010
4303020302021300332
51344422444313300
641120253124050
73652450660524
oct631062116076
9166648413403
1054908197950
11213172788a1
12a784789626
135240898378
14292c536314
151665715a50
hexcc8c89c3e

54908197950 has 96 divisors (see below), whose sum is σ = 140780989440. Its totient is φ = 14151888000.

The previous prime is 54908197943. The next prime is 54908197979. The reversal of 54908197950 is 5979180945.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 805291 + ... + 870809.

It is an arithmetic number, because the mean of its divisors is an integer number (1466468640).

Almost surely, 254908197950 is an apocalyptic number.

54908197950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54908197950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70390494720).

54908197950 is an abundant number, since it is smaller than the sum of its proper divisors (85872791490).

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

54908197950 is a wasteful number, since it uses less digits than its factorization.

54908197950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65722 (or 65717 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 54908197950 in words is "fifty-four billion, nine hundred eight million, one hundred ninety-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 151 185 222 302 370 453 555 755 906 925 1110 1510 1850 2265 2775 3775 4530 5550 5587 7550 11174 11325 16761 22650 27935 33522 55870 65519 83805 131038 139675 167610 196557 279350 327595 393114 419025 655190 838050 982785 1637975 1965570 2424203 3275950 4848406 4913925 7272609 9827850 9893369 12121015 14545218 19786738 24242030 29680107 36363045 49466845 59360214 60605075 72726090 98933690 121210150 148400535 181815225 247334225 296801070 363630450 366054653 494668450 732109306 742002675 1098163959 1484005350 1830273265 2196327918 3660546530 5490819795 9151366325 10981639590 18302732650 27454098975 54908197950