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23982842083984 = 24721749012
BaseRepresentation
bin1010111001111111100001…
…10010000111101010010000
310010220201220111111202121221
411130333300302013222100
511120413330033141414
6123001322054254424
75023463120114200
oct534776062075220
9103821814452557
1023982842083984
117707080141423
122834051357414
13104c759478034
145ccac0932400
152b8cae874224
hex15cff0c87a90

23982842083984 has 45 divisors (see below), whose sum is σ = 54053474820201. Its totient is φ = 10278302126400.

The previous prime is 23982842083943. The next prime is 23982842084021. The reversal of 23982842083984 is 48938024828932.

The square root of 23982842083984 is 4897228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13107093418384 + 10875748665600 = 3620372^2 + 3297840^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 137034934 + ... + 137209834.

Almost surely, 223982842083984 is an apocalyptic number.

23982842083984 is the 4897228-th square number.

It is an amenable number.

23982842083984 is an abundant number, since it is smaller than the sum of its proper divisors (30070632736217).

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

23982842083984 is an frugal number, since it uses more digits than its factorization.

23982842083984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349824 (or 174910 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 70.

The spelling of 23982842083984 in words is "twenty-three trillion, nine hundred eighty-two billion, eight hundred forty-two million, eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 174901 349802 699604 1224307 1399208 2448614 2798416 4897228 8570149 9794456 17140298 19588912 34280596 68561192 137122384 30590359801 61180719602 122361439204 214132518607 244722878408 428265037214 489445756816 856530074428 1498927630249 1713060148856 2997855260498 3426120297712 5995710520996 11991421041992 23982842083984