Search a number
-
+
644460666064446 = 237117191940106407
BaseRepresentation
bin1001001010001000100011000…
…1000100101000111000111110
310010111211211121212222122100110
42102202020301010220320332
51133432320421003030241
610202353050503210450
7252513514041300510
oct22242106104507076
93114754555878313
10644460666064446
11177388262a36120
1260344965146a26
132187a4c2c552aa
14b5200c3d61bb0
154e78d7a70d816
hex24a2231128e3e

644460666064446 has 64 divisors (see below), whose sum is σ = 1609201859051520. Its totient is φ = 167159567940960.

The previous prime is 644460666064373. The next prime is 644460666064463.

644460666064446 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969721026 + ... + 970385381.

It is an arithmetic number, because the mean of its divisors is an integer number (25143779047680).

Almost surely, 2644460666064446 is an apocalyptic number.

644460666064446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

644460666064446 is an abundant number, since it is smaller than the sum of its proper divisors (964741192987074).

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

644460666064446 is a wasteful number, since it uses less digits than its factorization.

644460666064446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940107149.

The product of its (nonzero) digits is 1146617856, while the sum is 66.

The spelling of 644460666064446 in words is "six hundred forty-four trillion, four hundred sixty billion, six hundred sixty-six million, sixty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 719 1438 2157 4314 5033 7909 10066 15099 15818 23727 30198 47454 55363 110726 166089 332178 1940106407 3880212814 5820319221 11640638442 13580744849 21341170477 27161489698 40742234547 42682340954 64023511431 81484469094 128047022862 149388193339 298776386678 448164580017 896329160034 1394936506633 2789873013266 4184809519899 8369619039798 9764555546431 15344301572963 19529111092862 29293666639293 30688603145926 46032904718889 58587333278586 92065809437778 107410111010741 214820222021482 322230333032223 644460666064446