Search a number
-
+
665016767616416 = 25418918131465177
BaseRepresentation
bin1001011100110101000100100…
…0001101000001010110100000
310020012121222111221121222122212
42113031101020031001112200
51144131113320002211131
610314212252511421252
7260034606305451065
oct22715211015012640
93205558457558585
10665016767616416
11182993033405a36
1262704855b24828
132270ba7325a597
14ba30daa218c6c
1551d392b564a2b
hex25cd4483415a0

665016767616416 has 96 divisors (see below), whose sum is σ = 1363747382983440. Its totient is φ = 318981368217600.

The previous prime is 665016767616269. The next prime is 665016767616431. The reversal of 665016767616416 is 614616767610566.

It can be written as a sum of positive squares in 8 ways, for example, as 81172964236816 + 583843803379600 = 9009604^2 + 24162860^2 .

It is a super-3 number, since 3×6650167676164163 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5402420 + ... + 36867596.

Almost surely, 2665016767616416 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 665016767616416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681873691491720).

665016767616416 is an abundant number, since it is smaller than the sum of its proper divisors (698730615367024).

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

665016767616416 is a wasteful number, since it uses less digits than its factorization.

665016767616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31465498 (or 31465490 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 68.

The spelling of 665016767616416 in words is "six hundred sixty-five trillion, sixteen billion, seven hundred sixty-seven million, six hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 41 82 89 164 178 181 328 356 362 656 712 724 1312 1424 1448 2848 2896 3649 5792 7298 7421 14596 14842 16109 29192 29684 32218 58384 59368 64436 116768 118736 128872 237472 257744 515488 660469 1320938 2641876 5283752 10567504 21135008 31465177 62930354 125860708 251721416 503442832 1006885664 1290072257 2580144514 2800400753 5160289028 5600801506 5695197037 10320578056 11201603012 11390394074 20641156112 22403206024 22780788148 41282312224 44806412048 45561576296 89612824096 91123152592 114816430873 182246305184 229632861746 233503078517 459265723492 467006157034 506872536293 918531446984 934012314068 1013745072586 1837062893968 1868024628136 2027490145172 3674125787936 3736049256272 4054980290344 7472098512544 8109960580688 16219921161376 20781773988013 41563547976026 83127095952052 166254191904104 332508383808208 665016767616416