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41376642112 = 2613165730013
BaseRepresentation
bin100110100010001111…
…010111010001000000
310221210121110012110101
4212202033113101000
51134214410021422
631001433012144
72663231440441
oct464217272100
9127717405411
1041376642112
11166030436a3
128028b54054
133b953433b0
14200735d2c8
1511227b5c27
hex9a23d7440

41376642112 has 56 divisors (see below), whose sum is σ = 88478990936. Its totient is φ = 19084750848.

The previous prime is 41376642107. The next prime is 41376642157. The reversal of 41376642112 is 21124667314.

It can be written as a sum of positive squares in 4 ways, for example, as 3251736576 + 38124905536 = 57024^2 + 195256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1363618 + ... + 1393630.

It is an arithmetic number, because the mean of its divisors is an integer number (1579981981).

Almost surely, 241376642112 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 41376642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44239495468).

41376642112 is an abundant number, since it is smaller than the sum of its proper divisors (47102348824).

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

41376642112 is a wasteful number, since it uses less digits than its factorization.

41376642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31695 (or 31685 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The spelling of 41376642112 in words is "forty-one billion, three hundred seventy-six million, six hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1657 3314 6628 13256 21541 26512 30013 43082 53024 60026 86164 106048 120052 172328 240104 344656 390169 480208 689312 780338 960416 1378624 1560676 1920832 3121352 6242704 12485408 24970816 49731541 99463082 198926164 397852328 646510033 795704656 1293020066 1591409312 2586040132 3182818624 5172080264 10344160528 20688321056 41376642112