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3463721204416 = 261153711307483
BaseRepresentation
bin110010011001110101110…
…111110011101011000000
3110021010110200112012222221
4302121311313303223000
5423222200112020131
611211113410140424
7505150145313214
oct62316567635300
913233420465887
103463721204416
111115a57359090
1247b361281714
131c1820834715
14bd905c4c944
15601753e4411
hex32675df3ac0

3463721204416 has 112 divisors (see below), whose sum is σ = 7747250635008. Its totient is φ = 1522955033600.

The previous prime is 3463721204401. The next prime is 3463721204423. The reversal of 3463721204416 is 6144021273643.

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 15 ways as a sum of consecutive naturals, for example, 1995411 + ... + 3302893.

Almost surely, 23463721204416 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 3463721204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873625317504).

3463721204416 is an abundant number, since it is smaller than the sum of its proper divisors (4283529430592).

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

3463721204416 is a wasteful number, since it uses less digits than its factorization.

3463721204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307630 (or 1307620 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 3463721204416 in words is "three trillion, four hundred sixty-three billion, seven hundred twenty-one million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 71 88 106 142 176 212 284 352 424 568 583 704 781 848 1136 1166 1562 1696 2272 2332 3124 3392 3763 4544 4664 6248 7526 9328 12496 15052 18656 24992 30104 37312 41393 49984 60208 82786 120416 165572 240832 331144 662288 1307483 1324576 2614966 2649152 5229932 10459864 14382313 20919728 28764626 41839456 57529252 69296599 83678912 92831293 115058504 138593198 185662586 230117008 277186396 371325172 460234016 554372792 742650344 762262589 920468032 1021144223 1108745584 1485300688 1524525178 2042288446 2217491168 2970601376 3049050356 4084576892 4434982336 4920058529 5941202752 6098100712 8169153784 9840117058 12196201424 16338307568 19680234116 24392402848 32676615136 39360468232 48784805696 54120643819 65353230272 78720936464 108241287638 157441872928 216482575276 314883745856 432965150552 865930301104 1731860602208 3463721204416