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2464048404642 = 231128593951113
BaseRepresentation
bin100011110110110100101…
…110101101100010100010
322201120010202210021211210
4203312310232231202202
5310332332342422032
65123545044450550
7343010262601536
oct43666456554242
98646122707753
102464048404642
1186aaa70a5600
123396709a9a56
1314b48829b4a6
1487391059bc6
15441677612cc
hex23db4bad8a2

2464048404642 has 48 divisors (see below), whose sum is σ = 5423141031840. Its totient is φ = 745811901120.

The previous prime is 2464048404619. The next prime is 2464048404661.

2464048404642 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2464048404591 and 2464048404600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351923 + ... + 2599190.

It is an arithmetic number, because the mean of its divisors is an integer number (112982104830).

Almost surely, 22464048404642 is an apocalyptic number.

2464048404642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2464048404642 is an abundant number, since it is smaller than the sum of its proper divisors (2959092627198).

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

2464048404642 is a wasteful number, since it uses less digits than its factorization.

2464048404642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951999 (or 3951988 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 48.

The spelling of 2464048404642 in words is "two trillion, four hundred sixty-four billion, forty-eight million, four hundred four thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 859 1718 2577 5154 9449 18898 28347 56694 103939 207878 311817 623634 3951113 7902226 11853339 23706678 43462243 86924486 130386729 260773458 478084673 956169346 1434254019 2868508038 3394006067 6788012134 10182018201 20364036402 37334066737 74668133474 112002200211 224004400422 410674734107 821349468214 1232024202321 2464048404642