Search a number
-
+
470611266416 = 242971139910211
BaseRepresentation
bin1101101100100101001…
…11100000101101110000
31122222201201010100202022
412312102213200231300
530202302441011131
61000110144411012
746000120522334
oct6662247405560
91588651110668
10470611266416
11171648877a25
127725a916a68
13354bc5c76a5
1418ac60557c4
15c395a0037b
hex6d929e0b70

470611266416 has 80 divisors (see below), whose sum is σ = 957313728000. Its totient is φ = 223809734400.

The previous prime is 470611266403. The next prime is 470611266427. The reversal of 470611266416 is 614662116074.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46083551 + ... + 46093761.

It is an arithmetic number, because the mean of its divisors is an integer number (11966421600).

Almost surely, 2470611266416 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 470611266416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478656864000).

470611266416 is an abundant number, since it is smaller than the sum of its proper divisors (486702461584).

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

470611266416 is a wasteful number, since it uses less digits than its factorization.

470611266416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11718 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 470611266416 in words is "four hundred seventy billion, six hundred eleven million, two hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 58 71 116 142 232 284 464 568 1136 1399 2059 2798 4118 5596 8236 10211 11192 16472 20422 22384 32944 40571 40844 81142 81688 99329 162284 163376 198658 296119 324568 397316 592238 649136 724981 794632 1184476 1449962 1589264 2368952 2880541 2899924 4737904 5761082 5799848 11522164 11599696 14285189 21024449 23044328 28570378 42048898 46088656 57140756 84097796 114281512 168195592 228563024 336391184 414270481 828540962 1014248419 1657081924 2028496838 3314163848 4056993676 6628327696 8113987352 16227974704 29413204151 58826408302 117652816604 235305633208 470611266416