Search a number
-
+
66165811448 = 23112139617797
BaseRepresentation
bin111101100111110010…
…100010100011111000
320022210012122110222012
4331213302202203320
52041001421431243
650221322545052
74531436055242
oct754762424370
9208705573865
1066165811448
112607396a500
12109a6968188
136315c9c929
1432b9705092
151ac3bded18
hexf67ca28f8

66165811448 has 96 divisors (see below), whose sum is σ = 137740705200. Its totient is φ = 29773201920.

The previous prime is 66165811423. The next prime is 66165811463. The reversal of 66165811448 is 84411856166.

It is a junction number, because it is equal to n+sod(n) for n = 66165811396 and 66165811405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83018186 + ... + 83018982.

Almost surely, 266165811448 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 66165811448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68870352600).

66165811448 is an abundant number, since it is smaller than the sum of its proper divisors (71574893752).

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

66165811448 is a wasteful number, since it uses less digits than its factorization.

66165811448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1566 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 50.

The spelling of 66165811448 in words is "sixty-six billion, one hundred sixty-five million, eight hundred eleven thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 139 242 278 484 556 617 797 968 1112 1234 1529 1594 2468 3058 3188 4936 6116 6376 6787 8767 12232 13574 16819 17534 27148 33638 35068 54296 67276 70136 74657 85763 96437 110783 134552 149314 171526 192874 221566 298628 343052 385748 443132 491749 597256 686104 771496 886264 943393 983498 1218613 1886786 1966996 2437226 3773572 3933992 4874452 5409239 7547144 9748904 10377323 10818478 13404743 20754646 21636956 26809486 41509292 43273912 53618972 59501629 68353111 83018584 107237944 119003258 136706222 238006516 273412444 476013032 546824888 751884221 1503768442 3007536884 6015073768 8270726431 16541452862 33082905724 66165811448