Search a number
-
+
667400740128 = 25322317363681
BaseRepresentation
bin10011011011001000010…
…11110001110100100000
32100210200022020102010200
421231210023301310200
541413314042141003
61230333310025200
766134545455363
oct11554413616440
92323608212120
10667400740128
11238052356211
12a941b1a8200
134ac21730a65
14244339ac0da
15125621976a3
hex9b642f1d20

667400740128 has 36 divisors (see below), whose sum is σ = 1897920855558. Its totient is φ = 222466913280.

The previous prime is 667400740121. The next prime is 667400740129. The reversal of 667400740128 is 821047004766.

It can be written as a sum of positive squares in only one way, i.e., 399793173264 + 267607566864 = 632292^2 + 517308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (667400740121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1158681553 + ... + 1158682128.

Almost surely, 2667400740128 is an apocalyptic number.

It is an amenable number.

667400740128 is an abundant number, since it is smaller than the sum of its proper divisors (1230520115430).

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

667400740128 is a wasteful number, since it uses less digits than its factorization.

667400740128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317363697 (or 2317363686 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 667400740128 in words is "six hundred sixty-seven billion, four hundred million, seven hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2317363681 4634727362 6952091043 9269454724 13904182086 18538909448 20856273129 27808364172 37077818896 41712546258 55616728344 74155637792 83425092516 111233456688 166850185032 222466913376 333700370064 667400740128