Search a number
-
+
7472720064 = 2631913914737
BaseRepresentation
bin1101111010110100…
…01010100011000000
3201021210020111210210
412331122022203000
5110301004020224
63233302154120
7353116033605
oct67532124300
921253214723
107472720064
113195179207
121546722940
13921229164
1450c6506ac
152db094429
hex1bd68a8c0

7472720064 has 112 divisors (see below), whose sum is σ = 20963331200. Its totient is φ = 2342670336.

The previous prime is 7472720063. The next prime is 7472720089. The reversal of 7472720064 is 4600272747.

It is not an unprimeable number, because it can be changed into a prime (7472720063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499704 + ... + 514440.

It is an arithmetic number, because the mean of its divisors is an integer number (187172600).

Almost surely, 27472720064 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 7472720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10481665600).

7472720064 is an abundant number, since it is smaller than the sum of its proper divisors (13490611136).

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

7472720064 is a wasteful number, since it uses less digits than its factorization.

7472720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14910 (or 14900 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 7472720064 is about 86444.8961130731. The cubic root of 7472720064 is about 1955.0576631060.

The spelling of 7472720064 in words is "seven billion, four hundred seventy-two million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 139 152 192 228 278 304 417 456 556 608 834 912 1112 1216 1668 1824 2224 2641 3336 3648 4448 5282 6672 7923 8896 10564 13344 14737 15846 21128 26688 29474 31692 42256 44211 58948 63384 84512 88422 117896 126768 169024 176844 235792 253536 280003 353688 471584 507072 560006 707376 840009 943168 1120012 1414752 1680018 2048443 2240024 2829504 3360036 4096886 4480048 6145329 6720072 8193772 8960096 12290658 13440144 16387544 17920192 24581316 26880288 32775088 38920417 49162632 53760576 65550176 77840834 98325264 116761251 131100352 155681668 196650528 233522502 311363336 393301056 467045004 622726672 934090008 1245453344 1868180016 2490906688 3736360032 7472720064