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41012746416 = 2433816111633
BaseRepresentation
bin100110001100100011…
…001101100010110000
310220212020201101102000
4212030203031202300
51132443230341131
630501353254000
72651222410155
oct461443154260
9126766641360
1041012746416
1116436698454
127b47104300
133b37b333b5
141db0cb622c
151100884ce6
hex98c8cd8b0

41012746416 has 80 divisors (see below), whose sum is σ = 117746317920. Its totient is φ = 13668065280.

The previous prime is 41012746399. The next prime is 41012746427. The reversal of 41012746416 is 61464721014.

It is a happy number.

41012746416 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 2 + 7 + 4 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3519736 + ... + 3531368.

It is an arithmetic number, because the mean of its divisors is an integer number (1471828974).

Almost surely, 241012746416 is an apocalyptic number.

It is an amenable number.

41012746416 is an abundant number, since it is smaller than the sum of its proper divisors (76733571504).

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

41012746416 is a wasteful number, since it uses less digits than its factorization.

41012746416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19811 (or 19799 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41012746416 in words is "forty-one billion, twelve million, seven hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 8161 11633 16322 23266 24483 32644 34899 46532 48966 65288 69798 73449 93064 97932 104697 130576 139596 146898 186128 195864 209394 220347 279192 293796 314091 391728 418788 440694 558384 587592 628182 837576 881388 1175184 1256364 1675152 1762776 2512728 3525552 5025456 94936913 189873826 284810739 379747652 569621478 759495304 854432217 1139242956 1518990608 1708864434 2278485912 2563296651 3417728868 4556971824 5126593302 6835457736 10253186604 13670915472 20506373208 41012746416