Search a number
-
+
3048048127728 = 2432471667270163
BaseRepresentation
bin101100010110101101110…
…100110110111011110000
3101210101112201022001200100
4230112231310312323300
5344414400310041403
610252130505352400
7433133321414112
oct54265564667360
911711481261610
103048048127728
11a7574078424a
12412895198700
131915780a6706
14a77522d93b2
1554447a812a3
hex2c5add36ef0

3048048127728 has 120 divisors (see below), whose sum is σ = 8717055429888. Its totient is φ = 993798481536.

The previous prime is 3048048127727. The next prime is 3048048127739. The reversal of 3048048127728 is 8277218408403.

3048048127728 is a `hidden beast` number, since 30 + 48 + 0 + 481 + 2 + 77 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3048048127721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11147175 + ... + 11417337.

Almost surely, 23048048127728 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 3048048127728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358527714944).

3048048127728 is an abundant number, since it is smaller than the sum of its proper divisors (5669007302160).

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

3048048127728 is a wasteful number, since it uses less digits than its factorization.

3048048127728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271891 (or 271882 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 3048048127728 in words is "three trillion, forty-eight billion, forty-eight million, one hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1667 1692 2256 3334 3384 5001 6668 6768 10002 13336 15003 20004 26672 30006 40008 60012 78349 80016 120024 156698 235047 240048 270163 313396 470094 540326 626792 705141 810489 940188 1080652 1253584 1410282 1620978 1880376 2161304 2431467 2820564 3241956 3760752 4322608 4862934 5641128 6483912 9725868 11282256 12697661 12967824 19451736 25395322 38092983 38903472 50790644 76185966 101581288 114278949 152371932 203162576 228557898 304743864 450361721 457115796 609487728 900723442 914231592 1351085163 1801446884 1828463184 2702170326 3602893768 4053255489 5404340652 7205787536 8106510978 10808681304 16213021956 21167000887 21617362608 32426043912 42334001774 63501002661 64852087824 84668003548 127002005322 169336007096 190503007983 254004010644 338672014192 381006015966 508008021288 762012031932 1016016042576 1524024063864 3048048127728