Search a number
-
+
376416606784 = 2653214472
BaseRepresentation
bin1010111101001000010…
…11011001101001000000
31022222121010020212100211
411132210023121221000
522131400122404114
6444531242123504
736123645236401
oct5364413315100
91288533225324
10376416606784
111357013a7a89
1260b511b0594
132965a7493ba
141430c0119a8
159bd129b6c4
hex57a42d9a40

376416606784 has 63 divisors (see below), whose sum is σ = 761837540457. Its totient is φ = 184529589504.

The previous prime is 376416606773. The next prime is 376416606817. The reversal of 376416606784 is 487606614673.

The square root of 376416606784 is 613528.

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., 271357646400 + 105058960384 = 520920^2 + 324128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 260135149 + ... + 260136595.

Almost surely, 2376416606784 is an apocalyptic number.

376416606784 is the 613528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376416606784

376416606784 is an abundant number, since it is smaller than the sum of its proper divisors (385420933673).

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

376416606784 is an frugal number, since it uses more digits than its factorization.

376416606784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 58.

The spelling of 376416606784 in words is "three hundred seventy-six billion, four hundred sixteen million, six hundred six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1447 1696 2809 2894 3392 5618 5788 11236 11576 22472 23152 44944 46304 76691 89888 92608 153382 179776 306764 613528 1227056 2093809 2454112 4064623 4187618 4908224 8129246 8375236 16258492 16750472 32516984 33500944 65033968 67001888 110971877 130067936 134003776 221943754 260135872 443887508 887775016 1775550032 3551100064 5881509481 7102200128 11763018962 23526037924 47052075848 94104151696 188208303392 376416606784