Search a number
-
+
10807445851024 = 24107276812
BaseRepresentation
bin1001110101000100110111…
…1110001000101110010000
31102021011220111001102020011
42131101031332020232100
52404032122114213044
634552512211524304
72163545404004644
oct235211576105620
942234814042204
1010807445851024
1134974594848a9
12126667b8b9694
136051a38b41b4
1429512430cc24
1513b1d6c6d134
hex9d44df88b90

10807445851024 has 45 divisors (see below), whose sum is σ = 21139703047281. Its totient is φ = 5352523898880.

The previous prime is 10807445851001. The next prime is 10807445851049. The reversal of 10807445851024 is 42015854470801.

The square root of 10807445851024 is 3287468.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7576080091024 + 3231365760000 = 2752468^2 + 1797600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1407032464 + ... + 1407040144.

Almost surely, 210807445851024 is an apocalyptic number.

10807445851024 is the 3287468-th square number.

It is an amenable number.

10807445851024 is a deficient number, since it is larger than the sum of its proper divisors (10332257196257).

10807445851024 is an frugal number, since it uses more digits than its factorization.

10807445851024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15584 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 49.

Multiplying 10807445851024 by its sum of digits (49), we get a square (529564846700176 = 230122762).

The spelling of 10807445851024 in words is "ten trillion, eight hundred seven billion, four hundred forty-five million, eight hundred fifty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 107 214 428 856 1712 7681 11449 15362 22898 30724 45796 61448 91592 122896 183184 821867 1643734 3287468 6574936 13149872 58997761 87939769 117995522 175879538 235991044 351759076 471982088 703518152 943964176 1407036304 6312760427 12625520854 25251041708 50502083416 101004166832 675465365689 1350930731378 2701861462756 5403722925512 10807445851024