Search a number
-
+
41011346046 = 23112323753599
BaseRepresentation
bin100110001100011101…
…110111101001111110
310220212011002020110110
4212030131313221332
51132442401033141
630501303250450
72651204455356
oct461435675176
9126764066413
1041011346046
1116435921320
127b46749a26
133b37762b88
141db0a2db66
1511006a9e16
hex98c777a7e

41011346046 has 192 divisors, whose sum is σ = 98042918400. Its totient is φ = 11328894720.

The previous prime is 41011346021. The next prime is 41011346071. The reversal of 41011346046 is 64064311014.

It is an interprime number because it is at equal distance from previous prime (41011346021) and next prime (41011346071).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68466055 + ... + 68466653.

It is an arithmetic number, because the mean of its divisors is an integer number (510640200).

Almost surely, 241011346046 is an apocalyptic number.

41011346046 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41011346046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49021459200).

41011346046 is an abundant number, since it is smaller than the sum of its proper divisors (57031572354).

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

41011346046 is a wasteful number, since it uses less digits than its factorization.

41011346046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 41011346046 in words is "forty-one billion, eleven million, three hundred forty-six thousand, forty-six".