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1993878544 = 247194122853
BaseRepresentation
bin111011011011000…
…0010110000010000
312010221211112011111
41312312002300100
513040413103134
6525503423104
7100260454660
oct16666026020
95127745144
101993878544
11933546509
124778b4a94
1325a112cb8
1414cb441a0
15ba0a3c64
hex76d82c10

1993878544 has 80 divisors (see below), whose sum is σ = 4760945280. Its totient is φ = 789765120.

The previous prime is 1993878529. The next prime is 1993878569. The reversal of 1993878544 is 4458783991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75822 + ... + 98674.

It is an arithmetic number, because the mean of its divisors is an integer number (59511816).

Almost surely, 21993878544 is an apocalyptic number.

1993878544 is a gapful number since it is divisible by the number (14) 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 1993878544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380472640).

1993878544 is an abundant number, since it is smaller than the sum of its proper divisors (2767066736).

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

1993878544 is a wasteful number, since it uses less digits than its factorization.

1993878544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22928 (or 22922 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The square root of 1993878544 is about 44652.8671419876. The cubic root of 1993878544 is about 1258.6343110029.

The spelling of 1993878544 in words is "one billion, nine hundred ninety-three million, eight hundred seventy-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 41 56 76 82 112 133 152 164 266 287 304 328 532 574 656 779 1064 1148 1558 2128 2296 3116 4592 5453 6232 10906 12464 21812 22853 43624 45706 87248 91412 159971 182824 319942 365648 434207 639884 868414 936973 1279768 1736828 1873946 2559536 3039449 3473656 3747892 6078898 6558811 6947312 7495784 12157796 13117622 14991568 17802487 24315592 26235244 35604974 48631184 52470488 71209948 104940976 124617409 142419896 249234818 284839792 498469636 996939272 1993878544