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53103948450 = 23527237195271
BaseRepresentation
bin110001011101001111…
…011111001010100010
312002001220110002102120
4301131033133022202
51332224102322300
640221241525110
73556652054100
oct613517371242
9162056402376
1053103948450
1120580881503
12a3604a3796
135013b4b007
1427daa74c70
1515ac11d3a0
hexc5d3df2a2

53103948450 has 144 divisors (see below), whose sum is σ = 157340804544. Its totient is φ = 11809929600.

The previous prime is 53103948449. The next prime is 53103948451. The reversal of 53103948450 is 5484930135.

It is an interprime number because it is at equal distance from previous prime (53103948449) and next prime (53103948451).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (53103948451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174315 + ... + 369585.

It is an arithmetic number, because the mean of its divisors is an integer number (1092644476).

Almost surely, 253103948450 is an apocalyptic number.

53103948450 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 53103948450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78670402272).

53103948450 is an abundant number, since it is smaller than the sum of its proper divisors (104236856094).

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

53103948450 is a wasteful number, since it uses less digits than its factorization.

53103948450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195337 (or 195325 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 53103948450 in words is "fifty-three billion, one hundred three million, nine hundred forty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 49 50 70 74 75 98 105 111 147 150 175 185 210 222 245 259 294 350 370 490 518 525 555 735 777 925 1050 1110 1225 1295 1470 1554 1813 1850 2450 2590 2775 3626 3675 3885 5439 5550 6475 7350 7770 9065 10878 12950 18130 19425 27195 38850 45325 54390 90650 135975 195271 271950 390542 585813 976355 1171626 1366897 1952710 2733794 2929065 4100691 4881775 5858130 6834485 7225027 8201382 9568279 9763550 13668970 14450054 14645325 19136558 20503455 21675081 28704837 29290650 34172425 36125135 41006910 43350162 47841395 50575189 57409674 68344850 72250270 95682790 101150378 102517275 108375405 143524185 151725567 180625675 205034550 216750810 239206975 252875945 287048370 303451134 354026323 361251350 478413950 505751890 541877025 708052646 717620925 758627835 1062078969 1083754050 1264379725 1435241850 1517255670 1770131615 2124157938 2528759450 3540263230 3793139175 5310394845 7586278350 8850658075 10620789690 17701316150 26551974225 53103948450