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41784900096 = 29329938059
BaseRepresentation
bin100110111010100100…
…101111101000000000
310222212001122212010110
4212322210233220000
51141033413300341
631110135231320
73006316535112
oct467244575000
9128761585113
1041784900096
11167a2539995
128121818540
133c2bab6674
1420456733b2
15114855b216
hex9ba92fa00

41784900096 has 80 divisors (see below), whose sum is σ = 115156245600. Its totient is φ = 13447999488.

The previous prime is 41784900077. The next prime is 41784900121. The reversal of 41784900096 is 69000948714.

It is a super-3 number, since 3×417849000963 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 424486 + ... + 513573.

It is an arithmetic number, because the mean of its divisors is an integer number (1439453070).

Almost surely, 241784900096 is an apocalyptic number.

It is an amenable number.

41784900096 is an abundant number, since it is smaller than the sum of its proper divisors (73371345504).

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

41784900096 is an equidigital number, since it uses as much as digits as its factorization.

41784900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938109 (or 938093 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 41784900096 in words is "forty-one billion, seven hundred eighty-four million, nine hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1392 1536 1856 2784 3712 5568 7424 11136 14848 22272 44544 938059 1876118 2814177 3752236 5628354 7504472 11256708 15008944 22513416 27203711 30017888 45026832 54407422 60035776 81611133 90053664 108814844 120071552 163222266 180107328 217629688 240143104 326444532 360214656 435259376 480286208 652889064 720429312 870518752 1305778128 1440858624 1741037504 2611556256 3482075008 5223112512 6964150016 10446225024 13928300032 20892450048 41784900096