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4077498386472 = 233783971301153
BaseRepresentation
bin111011010101011101110…
…101111100100000101000
3112102210201212120122022020
4323111131311330200220
51013301204041331342
612401102113224440
7600406132265610
oct73253565744050
915383655518266
104077498386472
1113322915a2455
1255a2b5b62120
13237677887854
141014cdb67a40
15710e9a300ec
hex3b55dd7c828

4077498386472 has 128 divisors (see below), whose sum is σ = 11802538460160. Its totient is φ = 1149774243840.

The previous prime is 4077498386461. The next prime is 4077498386483. The reversal of 4077498386472 is 2746838947704.

It is an interprime number because it is at equal distance from previous prime (4077498386461) and next prime (4077498386483).

It is a junction number, because it is equal to n+sod(n) for n = 4077498386397 and 4077498386406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13389048 + ... + 13690200.

It is an arithmetic number, because the mean of its divisors is an integer number (92207331720).

Almost surely, 24077498386472 is an apocalyptic number.

4077498386472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077498386472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901269230080).

4077498386472 is an abundant number, since it is smaller than the sum of its proper divisors (7725040073688).

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

4077498386472 is a wasteful number, since it uses less digits than its factorization.

4077498386472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302223 (or 302219 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 69.

The spelling of 4077498386472 in words is "four trillion, seventy-seven billion, four hundred ninety-eight million, three hundred eighty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 971 996 1162 1743 1942 1992 2324 2913 3486 3884 4648 5826 6797 6972 7768 11652 13594 13944 20391 23304 27188 40782 54376 80593 81564 161186 163128 241779 301153 322372 483558 564151 602306 644744 903459 967116 1128302 1204612 1692453 1806918 1934232 2108071 2256604 2409224 3384906 3613836 4216142 4513208 6324213 6769812 7227672 8432284 12648426 13539624 16864568 24995699 25296852 49991398 50593704 74987097 99982796 149974194 174969893 199965592 292419563 299948388 349939786 524909679 584839126 599896776 699879572 877258689 1049819358 1169678252 1399759144 1754517378 2046936941 2099638716 2339356504 3509034756 4093873882 4199277432 6140810823 7018069512 8187747764 12281621646 16375495528 24270823729 24563243292 48541647458 49126486584 72812471187 97083294916 145624942374 169895766103 194166589832 291249884748 339791532206 509687298309 582499769496 679583064412 1019374596618 1359166128824 2038749193236 4077498386472