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4101560026641 = 3271137159961001
BaseRepresentation
bin111011101011111000000…
…001110100011000010001
3112112002211202210121102100
4323223320001310120101
51014144443331323031
612420121453511013
7602220323664210
oct73537001643021
915462752717370
104101560026641
111341509786890
12562ab01a2469
13239a1088655c
1410273364b077
1571a57149de6
hex3baf8074611

4101560026641 has 48 divisors (see below), whose sum is σ = 7585990558848. Its totient is φ = 2073094560000.

The previous prime is 4101560026639. The next prime is 4101560026651. The reversal of 4101560026641 is 1466200651014.

4101560026641 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 5 + 6 + 0 + 0 + 2 + 6 + 641 = 666.

It is not a de Polignac number, because 4101560026641 - 21 = 4101560026639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4101560026596 and 4101560026605.

It is not an unprimeable number, because it can be changed into a prime (4101560026651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79954860 + ... + 80006141.

It is an arithmetic number, because the mean of its divisors is an integer number (158041469976).

Almost surely, 24101560026641 is an apocalyptic number.

It is an amenable number.

4101560026641 is a deficient number, since it is larger than the sum of its proper divisors (3484430532207).

4101560026641 is a wasteful number, since it uses less digits than its factorization.

4101560026641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159961062 (or 159961059 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 4101560026641 its reverse (1466200651014), we get a palindrome (5567760677655).

The spelling of 4101560026641 in words is "four trillion, one hundred one billion, five hundred sixty million, twenty-six thousand, six hundred forty-one".

Divisors: 1 3 7 9 11 21 33 37 63 77 99 111 231 259 333 407 693 777 1221 2331 2849 3663 8547 25641 159961001 479883003 1119727007 1439649009 1759571011 3359181021 5278713033 5918557037 10077543063 12316997077 15836139099 17755671111 36950991231 41429899259 53267013333 65104127407 110852973693 124289697777 195312382221 372869093331 455728891849 585937146663 1367186675547 4101560026641