Search a number
-
+
376664017072 = 24743615032549
BaseRepresentation
bin1010111101100101110…
…11001100100010110000
31100000020100210121110211
411132302323030202300
522132401442021242
6445012001033504
736133041214240
oct5366273144260
91300210717424
10376664017072
11135819021aa2
1261000025894
1329699a93115
1414332c15b20
159be7d6d317
hex57b2ecc8b0

376664017072 has 160 divisors (see below), whose sum is σ = 869494348800. Its totient is φ = 154719452160.

The previous prime is 376664017033. The next prime is 376664017073. The reversal of 376664017072 is 270710466673.

It is not an unprimeable number, because it can be changed into a prime (376664017073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147768054 + ... + 147770602.

It is an arithmetic number, because the mean of its divisors is an integer number (5434339680).

Almost surely, 2376664017072 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 376664017072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434747174400).

376664017072 is an abundant number, since it is smaller than the sum of its proper divisors (492830331728).

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

376664017072 is a wasteful number, since it uses less digits than its factorization.

376664017072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 49.

The spelling of 376664017072 in words is "three hundred seventy-six billion, six hundred sixty-four million, seventeen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 61 86 112 122 172 244 301 344 427 488 503 602 688 854 976 1006 1204 1708 2012 2408 2549 2623 3416 3521 4024 4816 5098 5246 6832 7042 8048 10196 10492 14084 17843 18361 20392 20984 21629 28168 30683 35686 36722 40784 41968 43258 56336 61366 71372 73444 86516 109607 122732 142744 146888 151403 155489 173032 214781 219214 245464 285488 293776 302806 310978 346064 429562 438428 490928 605612 621956 767249 859124 876856 1088423 1211224 1243912 1282147 1319369 1534498 1718248 1753712 2176846 2422448 2487824 2564294 2638738 3068996 3436496 4353692 5128588 5277476 6137992 6686027 8707384 8975029 9235583 10257176 10554952 12275984 13372054 17414768 17950058 18471166 20514352 21109904 26744108 35900116 36942332 46802189 53488216 55132321 71800232 73884664 78210967 93604378 106976432 110264642 143600464 147769328 156421934 187208756 220529284 312843868 374417512 385926247 441058568 547476769 625687736 748835024 771852494 882117136 1094953538 1251375472 1543704988 2189907076 3087409976 3363071581 4379814152 6174819952 6726143162 8759628304 13452286324 23541501067 26904572648 47083002134 53809145296 94166004268 188332008536 376664017072