Search a number
-
+
4752070420548 = 2231173862357191
BaseRepresentation
bin100010100100110110101…
…1110000010100001000100
3121211021220221212112100110
41011021231132002201010
51110324220011424143
614035023201113020
71000216510051653
oct105115536024104
917737827775313
104752070420548
111572383958980
12648b96928770
1328616cc377b9
14126003d2119a
158392b57a533
hex4526d782844

4752070420548 has 96 divisors (see below), whose sum is σ = 12263516762112. Its totient is φ = 1420105478400.

The previous prime is 4752070420547. The next prime is 4752070420549. The reversal of 4752070420548 is 8450240702574.

It is an interprime number because it is at equal distance from previous prime (4752070420547) and next prime (4752070420549).

It is a junction number, because it is equal to n+sod(n) for n = 4752070420497 and 4752070420506.

It is not an unprimeable number, because it can be changed into a prime (4752070420547) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 83062633 + ... + 83119823.

It is an arithmetic number, because the mean of its divisors is an integer number (127744966272).

Almost surely, 24752070420548 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 4752070420548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131758381056).

4752070420548 is an abundant number, since it is smaller than the sum of its proper divisors (7511446341564).

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

4752070420548 is a wasteful number, since it uses less digits than its factorization.

4752070420548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65905 (or 65903 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 48.

The spelling of 4752070420548 in words is "four trillion, seven hundred fifty-two billion, seventy million, four hundred twenty thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 8623 9636 17246 25869 34492 51738 57191 94853 103476 114382 171573 189706 228764 284559 343146 379412 569118 629101 629479 686292 1138236 1258202 1258958 1887303 1888437 2516404 2517916 3774606 3776874 4174943 6924269 7549212 7553748 8349886 12524829 13848538 16699772 20772807 25049658 27697076 41545614 45924373 50099316 83091228 91848746 137773119 183697492 275546238 493157993 551092476 986315986 1479473979 1972631972 2958947958 5424737923 5917895916 10849475846 16274213769 21698951692 32548427538 36000533489 65096855076 72001066978 108001600467 144002133956 216003200934 396005868379 432006401868 792011736758 1188017605137 1584023473516 2376035210274 4752070420548