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41451501104 = 24134715712699
BaseRepresentation
bin100110100110101100…
…111011011000110000
310221222211022102200122
4212212230323120300
51134343041013404
631013105305412
72665130642306
oct464654733060
9127884272618
1041451501104
1116641323332
12804a035268
133ba79c3760
142013288276
1511291513be
hex9a6b3b630

41451501104 has 80 divisors (see below), whose sum is σ = 88419340800. Its totient is φ = 18705557760.

The previous prime is 41451501097. The next prime is 41451501137. The reversal of 41451501104 is 40110515414.

41451501104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15356747 + ... + 15359445.

It is an arithmetic number, because the mean of its divisors is an integer number (1105241760).

Almost surely, 241451501104 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 41451501104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44209670400).

41451501104 is an abundant number, since it is smaller than the sum of its proper divisors (46967839696).

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

41451501104 is a wasteful number, since it uses less digits than its factorization.

41451501104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 41451501104 in words is "forty-one billion, four hundred fifty-one million, five hundred one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1222 1571 2444 2699 3142 4888 5398 6284 9776 10796 12568 20423 21592 25136 35087 40846 43184 70174 73837 81692 126853 140348 147674 163384 253706 280696 295348 326768 507412 561392 590696 959881 1014824 1181392 1649089 1919762 2029648 3298178 3839524 4240129 6596356 7679048 8480258 13192712 15358096 16960516 26385424 33921032 55121677 67842064 110243354 199286063 220486708 398572126 440973416 797144252 881946832 1594288504 2590718819 3188577008 5181437638 10362875276 20725750552 41451501104