Search a number
-
+
484104242176 = 21017212792
BaseRepresentation
bin1110000101101101101…
…11001000010000000000
31201021120001112112211021
413002312313020100000
530412421141222201
61010221105555224
746655361110152
oct7026667102000
91637501475737
10484104242176
11177342251365
12799a5645b14
133685cb62209
1419606068ad2
15c8d537dea1
hex70b6dc8400

484104242176 has 99 divisors (see below), whose sum is σ = 1028814312909. Its totient is φ = 227635642368.

The previous prime is 484104242147. The next prime is 484104242177. The reversal of 484104242176 is 671242401484.

The square root of 484104242176 is 695776.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 376897766400 + 107206475776 = 613920^2 + 327424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (484104242177) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 378501505 + ... + 378502783.

Almost surely, 2484104242176 is an apocalyptic number.

484104242176 is the 695776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484104242176

484104242176 is an abundant number, since it is smaller than the sum of its proper divisors (544710070733).

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

484104242176 is an frugal number, since it uses more digits than its factorization.

484104242176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 484104242176 in words is "four hundred eighty-four billion, one hundred four million, two hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 1279 2176 2312 2558 4352 4624 5116 8704 9248 10232 17408 18496 20464 21743 36992 40928 43486 73984 81856 86972 147968 163712 173944 295936 327424 347888 369631 654848 695776 739262 1309696 1391552 1478524 1635841 2783104 2957048 3271682 5566208 5914096 6543364 11132416 11828192 13086728 22264832 23656384 26173456 27809297 47312768 52346912 55618594 94625536 104693824 111237188 189251072 209387648 222474376 378502144 418775296 444948752 472758049 837550592 889897504 945516098 1675101184 1779795008 1891032196 3559590016 3782064392 7119180032 7564128784 14238360064 15128257568 28476720128 30256515136 60513030272 121026060544 242052121088 484104242176