Search a number
-
+
8923822685440 = 285134113080181
BaseRepresentation
bin1000000111011011110101…
…0001111111110100000000
31011121002221112202021221121
42001312331101333310000
52132201442101413230
630551314134202024
71610503434165205
oct201667521776400
934532845667847
108923822685440
112930632298213
1210015b61b3314
134c9688a05b30
1422bcb5905cac
151071e0b0a77a
hex81dbd47fd00

8923822685440 has 144 divisors (see below), whose sum is σ = 23581056751056. Its totient is φ = 3214585036800.

The previous prime is 8923822685429. The next prime is 8923822685441. The reversal of 8923822685440 is 445862283298.

8923822685440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 656955638784 + 8266867046656 = 810528^2 + 2875216^2 .

It is a super-2 number, since 2×89238226854402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8923822685441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5857851 + ... + 7222330.

It is an arithmetic number, because the mean of its divisors is an integer number (163757338549).

Almost surely, 28923822685440 is an apocalyptic number.

8923822685440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8923822685440 is an abundant number, since it is smaller than the sum of its proper divisors (14657234065616).

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

8923822685440 is a wasteful number, since it uses less digits than its factorization.

8923822685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13080256 (or 13080242 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 61.

The spelling of 8923822685440 in words is "eight trillion, nine hundred twenty-three billion, eight hundred twenty-two million, six hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 80 82 104 128 130 160 164 205 208 256 260 320 328 410 416 520 533 640 656 820 832 1040 1066 1280 1312 1640 1664 2080 2132 2624 2665 3280 3328 4160 4264 5248 5330 6560 8320 8528 10496 10660 13120 16640 17056 21320 26240 34112 42640 52480 68224 85280 136448 170560 341120 682240 13080181 26160362 52320724 65400905 104641448 130801810 170042353 209282896 261603620 340084706 418565792 523207240 536287421 680169412 837131584 850211765 1046414480 1072574842 1360338824 1674263168 1700423530 2092828960 2145149684 2681437105 2720677648 3348526336 3400847060 4185657920 4290299368 5362874210 5441355296 6801694120 6971736473 8371315840 8580598736 10725748420 10882710592 13603388240 13943472946 16742631680 17161197472 21451496840 21765421184 27206776480 27886945892 34322394944 34858682365 42902993680 43530842368 54413552960 55773891784 68644789888 69717364730 85805987360 108827105920 111547783568 137289579776 139434729460 171611974720 217654211840 223095567136 278869458920 343223949440 446191134272 557738917840 686447898880 892382268544 1115477835680 1784764537088 2230955671360 4461911342720 8923822685440