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3418799696 = 241328111559
BaseRepresentation
bin1100101111000110…
…1011111001010000
322211021002000111222
43023301223321100
524000203042241
61323124424212
7150502214024
oct31361537120
98737060458
103418799696
1114a49068a4
127b4b48068
134263a8b00
142460a2384
1515021ca4b
hexcbc6be50

3418799696 has 60 divisors (see below), whose sum is σ = 7186102560. Its totient is φ = 1574951040.

The previous prime is 3418799689. The next prime is 3418799711. The reversal of 3418799696 is 6969978143.

It is a super-2 number, since 2×34187996962 = 23376382722739384832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2192165 + ... + 2193723.

It is an arithmetic number, because the mean of its divisors is an integer number (119768376).

Almost surely, 23418799696 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 3418799696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593051280).

3418799696 is an abundant number, since it is smaller than the sum of its proper divisors (3767302864).

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

3418799696 is a wasteful number, since it uses less digits than its factorization.

3418799696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2385 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 62.

The square root of 3418799696 is about 58470.5027855927. The cubic root of 3418799696 is about 1506.4609744347.

The spelling of 3418799696 in words is "three billion, four hundred eighteen million, seven hundred ninety-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 811 1352 1559 1622 2704 3118 3244 6236 6488 10543 12472 12976 20267 21086 24944 40534 42172 81068 84344 137059 162136 168688 263471 274118 324272 526942 548236 1053884 1096472 1264349 2107768 2192944 2528698 4215536 5057396 10114792 16436537 20229584 32873074 65746148 131492296 213674981 262984592 427349962 854699924 1709399848 3418799696