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5073061120 = 28517376301
BaseRepresentation
bin1001011100110000…
…01100010100000000
3111002112212012120121
410232120030110000
540342200423440
62155221150024
7236500210441
oct45630142400
914075765517
105073061120
1121736799a6
12b96b5b314
1362b02c81a
14361a7d2c8
151ea58934a
hex12e60c500

5073061120 has 144 divisors (see below), whose sum is σ = 13216201488. Its totient is φ = 1857945600.

The previous prime is 5073061117. The next prime is 5073061121. The reversal of 5073061120 is 211603705.

It can be written as a sum of positive squares in 8 ways, for example, as 640697344 + 4432363776 = 25312^2 + 66576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5073061121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801970 + ... + 808270.

It is an arithmetic number, because the mean of its divisors is an integer number (91779177).

Almost surely, 25073061120 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 5073061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608100744).

5073061120 is an abundant number, since it is smaller than the sum of its proper divisors (8143140368).

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

5073061120 is a wasteful number, since it uses less digits than its factorization.

5073061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 5073061120 is about 71225.4246740586. The cubic root of 5073061120 is about 1718.2645556730.

Adding to 5073061120 its reverse (211603705), we get a palindrome (5284664825).

The spelling of 5073061120 in words is "five billion, seventy-three million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 64 68 74 80 85 128 136 148 160 170 185 256 272 296 320 340 370 544 592 629 640 680 740 1088 1184 1258 1280 1360 1480 2176 2368 2516 2720 2960 3145 4352 4736 5032 5440 5920 6290 6301 9472 10064 10880 11840 12580 12602 20128 21760 23680 25160 25204 31505 40256 47360 50320 50408 63010 80512 100640 100816 107117 126020 161024 201280 201632 214234 233137 252040 402560 403264 428468 466274 504080 535585 805120 806528 856936 932548 1008160 1071170 1165685 1613056 1713872 1865096 2016320 2142340 2331370 3427744 3730192 3963329 4032640 4284680 4662740 6855488 7460384 7926658 8065280 8569360 9325480 13710976 14920768 15853316 17138720 18650960 19816645 27421952 29841536 31706632 34277440 37301920 39633290 59683072 63413264 68554880 74603840 79266580 126826528 137109760 149207680 158533160 253653056 298415360 317066320 507306112 634132640 1014612224 1268265280 2536530560 5073061120