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41678039104 = 261341512
BaseRepresentation
bin100110110100001101…
…000110100001000000
310222120121120202101221
4212310031012201000
51140324034222404
631051401004424
73003551326042
oct466415064100
9128517522357
1041678039104
1116748191719
1280b1a83714
133c12910000
1420353b7a92
15113de9d954
hex9b4346840

41678039104 has 105 divisors (see below), whose sum is σ = 90193974171. Its totient is φ = 19108627200.

The previous prime is 41678039101. The next prime is 41678039113. The reversal of 41678039104 is 40193087614.

The square root of 41678039104 is 204152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 20664637504 + 21013401600 = 143752^2 + 144960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41678039101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 276013429 + ... + 276013579.

Almost surely, 241678039104 is an apocalyptic number.

41678039104 is the 204152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41678039104

41678039104 is an abundant number, since it is smaller than the sum of its proper divisors (48515935067).

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

41678039104 is an frugal number, since it uses more digits than its factorization.

41678039104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 41678039104 in words is "forty-one billion, six hundred seventy-eight million, thirty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 151 169 208 302 338 416 604 676 832 1208 1352 1963 2197 2416 2704 3926 4394 4832 5408 7852 8788 9664 10816 15704 17576 22801 25519 28561 31408 35152 45602 51038 57122 62816 70304 91204 102076 114244 125632 140608 182408 204152 228488 296413 331747 364816 408304 456976 592826 663494 729632 816608 913952 1185652 1326988 1459264 1633216 1827904 2371304 2653976 3853369 4312711 4742608 5307952 7706738 8625422 9485216 10615904 15413476 17250844 18970432 21231808 30826952 34501688 50093797 61653904 69003376 100187594 123307808 138006752 200375188 246615616 276013504 400750376 651219361 801500752 1302438722 1603001504 2604877444 3206003008 5209754888 10419509776 20839019552 41678039104