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5081444352 = 21232307449
BaseRepresentation
bin1001011101110000…
…01011000000000000
3111010010122010012200
410232320023000000
540401322204402
62200120553200
7236631364365
oct45670130000
914103563180
105081444352
112178385396
12b99922800
1362c9a650a
14362c2246c
151eb19321c
hex12ee0b000

5081444352 has 156 divisors (see below), whose sum is σ = 14758543800. Its totient is φ = 1684537344.

The previous prime is 5081444327. The next prime is 5081444353. The reversal of 5081444352 is 2534441805.

It is a happy number.

5081444352 is a `hidden beast` number, since 508 + 144 + 4 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5081444353) 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 11 ways as a sum of consecutive naturals, for example, 11317024 + ... + 11317472.

It is an arithmetic number, because the mean of its divisors is an integer number (94606050).

Almost surely, 25081444352 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 5081444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379271900).

5081444352 is an abundant number, since it is smaller than the sum of its proper divisors (9677099448).

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

5081444352 is a wasteful number, since it uses less digits than its factorization.

5081444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5081444352 is about 71284.2503783269. The cubic root of 5081444352 is about 1719.2105120233.

The spelling of 5081444352 in words is "five billion, eighty-one million, four hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 307 384 449 512 576 614 768 898 921 1024 1152 1228 1347 1536 1796 1842 2048 2304 2456 2694 2763 3072 3592 3684 4041 4096 4608 4912 5388 5526 6144 7184 7368 8082 9216 9824 10776 11052 12288 14368 14736 16164 18432 19648 21552 22104 28736 29472 32328 36864 39296 43104 44208 57472 58944 64656 78592 86208 88416 114944 117888 129312 137843 157184 172416 176832 229888 235776 258624 275686 314368 344832 353664 413529 459776 471552 517248 551372 628736 689664 707328 827058 919552 943104 1034496 1102744 1240587 1257472 1379328 1414656 1654116 1839104 1886208 2068992 2205488 2481174 2758656 2829312 3308232 3772416 4137984 4410976 4962348 5517312 5658624 6616464 8275968 8821952 9924696 11317248 13232928 16551936 17643904 19849392 26465856 35287808 39698784 52931712 70575616 79397568 105863424 141151232 158795136 211726848 282302464 317590272 423453696 564604928 635180544 846907392 1270361088 1693814784 2540722176 5081444352