Search a number
-
+
376806668048 = 24313974634133
BaseRepresentation
bin1010111101110110110…
…11010111011100010000
31100000121022020000211022
411132323123113130100
522133200001334143
6445034054335012
736136422555266
oct5367333273420
91300538200738
10376806668048
111358915a4868
126103b95a468
13296c04bac95
1414347b4a436
159c0564a268
hex57bb6d7710

376806668048 has 80 divisors (see below), whose sum is σ = 757326575616. Its totient is φ = 181429839360.

The previous prime is 376806668047. The next prime is 376806668059. The reversal of 376806668048 is 840866608673.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (376806668047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91168190 + ... + 91172322.

Almost surely, 2376806668048 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 376806668048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378663287808).

376806668048 is an abundant number, since it is smaller than the sum of its proper divisors (380519907568).

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

376806668048 is a wasteful number, since it uses less digits than its factorization.

376806668048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 62.

The spelling of 376806668048 in words is "three hundred seventy-six billion, eight hundred six million, six hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 397 463 496 794 926 1588 1852 3176 3704 4133 6352 7408 8266 12307 14353 16532 24614 28706 33064 49228 57412 66128 98456 114824 128123 183811 196912 229648 256246 367622 512492 735244 1024984 1470488 1640801 1913579 2049968 2940976 3281602 3827158 5698141 6563204 7654316 11396282 13126408 15308632 22792564 26252816 30617264 45585128 50864831 59320949 91170256 101729662 118641898 203459324 237283796 406918648 474567592 759690863 813837296 949135184 1519381726 3038763452 6077526904 12155053808 23550416753 47100833506 94201667012 188403334024 376806668048