Search a number
-
+
4642760512752 = 2431031396755897
BaseRepresentation
bin100001110001111101000…
…0101110101010011110000
3121102211202221222212111220
41003203322011311103300
51102031333142402002
613512504342305040
7656266635136065
oct103437205652360
917384687885456
104642760512752
11152aa903002aa
1262b96b128180
13278a6c6bb39b
141209d4656c6c
1580b7ed497bc
hex438fa1754f0

4642760512752 has 80 divisors (see below), whose sum is σ = 12197368485120. Its totient is φ = 1521535873536.

The previous prime is 4642760512751. The next prime is 4642760512807. The reversal of 4642760512752 is 2572150672464.

It is a super-2 number, since 2×46427605127522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4642760512695 and 4642760512704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642760512751) 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, 2690733 + ... + 4065164.

It is an arithmetic number, because the mean of its divisors is an integer number (152467106064).

Almost surely, 24642760512752 is an apocalyptic number.

It is an amenable number.

4642760512752 is an abundant number, since it is smaller than the sum of its proper divisors (7554607972368).

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

4642760512752 is a wasteful number, since it uses less digits than its factorization.

4642760512752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756150 (or 6756144 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 4642760512752 in words is "four trillion, six hundred forty-two billion, seven hundred sixty million, five hundred twelve thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 139 206 278 309 412 417 556 618 824 834 1112 1236 1648 1668 2224 2472 3336 4944 6672 14317 28634 42951 57268 85902 114536 171804 229072 343608 687216 6755897 13511794 20267691 27023588 40535382 54047176 81070764 108094352 162141528 324283056 695857391 939069683 1391714782 1878139366 2087572173 2783429564 2817209049 3756278732 4175144346 5566859128 5634418098 7512557464 8350288692 11133718256 11268836196 15025114928 16700577384 22537672392 33401154768 45075344784 96724177349 193448354698 290172532047 386896709396 580345064094 773793418792 1160690128188 1547586837584 2321380256376 4642760512752