Search a number
-
+
2072711145465 = 325647154945959
BaseRepresentation
bin11110001010010111001…
…101100010011111111001
321100011000210200202020200
4132022113031202133321
5232424403023123330
64224105041112413
7302514500020632
oct36122715423771
97304023622220
102072711145465
1172a039451644
12295856928709
131205c05984bc
147246959a889
1538db1625a60
hex1e2973627f9

2072711145465 has 48 divisors (see below), whose sum is σ = 3600653472000. Its totient is φ = 1103000823936.

The previous prime is 2072711145409. The next prime is 2072711145511. The reversal of 2072711145465 is 5645411172702.

2072711145465 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 71 + 114 + 5 + 465 = 666.

It is not a de Polignac number, because 2072711145465 - 29 = 2072711144953 is a prime.

It is a super-2 number, since 2×20727111454652 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2072711145465.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45076156 + ... + 45122114.

It is an arithmetic number, because the mean of its divisors is an integer number (75013614000).

Almost surely, 22072711145465 is an apocalyptic number.

It is an amenable number.

2072711145465 is a deficient number, since it is larger than the sum of its proper divisors (1527942326535).

2072711145465 is a wasteful number, since it uses less digits than its factorization.

2072711145465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48166 (or 48163 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 2072711145465 in words is "two trillion, seventy-two billion, seven hundred eleven million, one hundred forty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 647 1549 1941 3235 4647 5823 7745 9705 13941 23235 29115 45959 69705 137877 229795 413631 689385 1002203 2068155 3006609 5011015 9019827 15033045 29735473 45099135 71190491 89206419 148677365 213571473 267619257 355952455 446032095 640714419 1067857365 1338096285 3203572095 46060247677 138180743031 230301238385 414542229093 690903715155 2072711145465