Search a number
-
+
2934751989888 = 2734283058641
BaseRepresentation
bin101010101101001100110…
…110011001000010000000
3101101120002220121221020000
4222231030312121002000
5341040333002134023
610124112332120000
7422012614215255
oct52551466310200
911346086557200
102934751989888
11a31691a97a84
123b4936606000
13183990a4a3b4
14a208546342c
15515163ea243
hex2ab4cd99080

2934751989888 has 80 divisors (see below), whose sum is σ = 8733774398910. Its totient is φ = 978250659840.

The previous prime is 2934751989887. The next prime is 2934751989889. The reversal of 2934751989888 is 8889891574392.

2934751989888 is a `hidden beast` number, since 2 + 9 + 3 + 4 + 7 + 519 + 8 + 98 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2934751989887) and next prime (2934751989889).

It can be written as a sum of positive squares in only one way, i.e., 2195826076224 + 738925913664 = 1481832^2 + 859608^2 .

It is a super-2 number, since 2×29347519898882 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (2934751989887) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 141518953 + ... + 141539688.

Almost surely, 22934751989888 is an apocalyptic number.

It is an amenable number.

2934751989888 is an abundant number, since it is smaller than the sum of its proper divisors (5799022409022).

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

2934751989888 is an equidigital number, since it uses as much as digits as its factorization.

2934751989888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283058667 (or 283058646 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 81.

The spelling of 2934751989888 in words is "two trillion, nine hundred thirty-four billion, seven hundred fifty-one million, nine hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 283058641 566117282 849175923 1132234564 1698351846 2264469128 2547527769 3396703692 4528938256 5095055538 6793407384 7642583307 9057876512 10190111076 13586814768 15285166614 18115753024 20380222152 22927749921 27173629536 30570333228 36231506048 40760444304 45855499842 54347259072 61140666456 81520888608 91710999684 108694518144 122281332912 163041777216 183421999368 244562665824 326083554432 366843998736 489125331648 733687997472 978250663296 1467375994944 2934751989888