Search a number
-
+
25702141993984 = 2101584292
BaseRepresentation
bin1011101100000001111110…
…00010110010010000000000
310101000002201110121121011101
411312000333002302100000
511332100441322301414
6130355222342224144
75261630016166021
oct566007702622000
9111002643547141
1025702141993984
11820a243113a55
122a712b7425054
1311459175170a1
1464bdc15a6c48
152e888971ea74
hex17603f0b2400

25702141993984 has 33 divisors (see below), whose sum is σ = 51379508546137. Its totient is φ = 12850989881344.

The previous prime is 25702141993967. The next prime is 25702141994003. The reversal of 25702141993984 is 48939914120752.

The square root of 25702141993984 is 5069728.

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., 25685921424384 + 16220569600 = 5068128^2 + 127360^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 162152082 + ... + 162310510.

Almost surely, 225702141993984 is an apocalyptic number.

25702141993984 is the 5069728-th square number.

It is an amenable number.

25702141993984 is a deficient number, since it is larger than the sum of its proper divisors (25677366552153).

25702141993984 is an frugal number, since it uses more digits than its factorization.

25702141993984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316878 (or 158431 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

25702141993984 divided by its sum of digits (64) gives a square (401595968656 = 6337162).

The spelling of 25702141993984 in words is "twenty-five trillion, seven hundred two billion, one hundred forty-one million, nine hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 158429 316858 633716 1267432 2534864 5069728 10139456 20278912 40557824 81115648 162231296 25099748041 50199496082 100398992164 200797984328 401595968656 803191937312 1606383874624 3212767749248 6425535498496 12851070996992 25702141993984