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461993078382 = 2311191151320083
BaseRepresentation
bin1101011100100001110…
…11101110111001101110
31122011111002111001021220
412232100323232321232
530032130212002012
6552123043004210
745243422241603
oct6562073567156
91564432431256
10461993078382
11168a26059780
1275654669666
1334747c8b244
141850962c6aa
15c03e0e308c
hex6b90eeee6e

461993078382 has 64 divisors (see below), whose sum is σ = 1061961891840. Its totient is φ = 132513948000.

The previous prime is 461993078321. The next prime is 461993078419. The reversal of 461993078382 is 283870399164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283313 + ... + 1603395.

It is an arithmetic number, because the mean of its divisors is an integer number (16593154560).

Almost surely, 2461993078382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461993078382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530980945920).

461993078382 is an abundant number, since it is smaller than the sum of its proper divisors (599968813458).

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

461993078382 is a wasteful number, since it uses less digits than its factorization.

461993078382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321269.

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 461993078382 in words is "four hundred sixty-one billion, nine hundred ninety-three million, seventy-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1151 1254 2302 3453 6906 12661 21869 25322 37983 43738 65607 75966 131214 240559 320083 481118 640166 721677 960249 1443354 1920498 3520913 6081577 7041826 10562739 12163154 18244731 21125478 36489462 66897347 133794694 200692041 368415533 401384082 736831066 1105246599 2210493198 4052570863 6999895127 8105141726 12157712589 13999790254 20999685381 24315425178 41999370762 76998846397 153997692794 230996539191 461993078382