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1974489696 = 2535318191
BaseRepresentation
bin111010110110000…
…0101001001100000
312002121100110200000
41311230011021200
513020432132241
6523532100000
766633612504
oct16554051140
95077313600
101974489696
11923603373
12471304600
132560b4aca
1414a338304
15b8523eb6
hex75b05260

1974489696 has 144 divisors (see below), whose sum is σ = 6011486208. Its totient is φ = 636854400.

The previous prime is 1974489689. The next prime is 1974489721. The reversal of 1974489696 is 6969844791.

1974489696 is a `hidden beast` number, since 1 + 97 + 4 + 489 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×19744896962 = 7797219119220344832, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 236961 + ... + 245151.

It is an arithmetic number, because the mean of its divisors is an integer number (41746432).

Almost surely, 21974489696 is an apocalyptic number.

1974489696 is a gapful number since it is divisible by the number (16) 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 1974489696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005743104).

1974489696 is an abundant number, since it is smaller than the sum of its proper divisors (4036996512).

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

1974489696 is an equidigital number, since it uses as much as digits as its factorization.

1974489696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8227 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 1974489696 is about 44435.2303471018. The cubic root of 1974489696 is about 1254.5412832307.

The spelling of 1974489696 in words is "one billion, nine hundred seventy-four million, four hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 972 992 1116 1296 1488 1674 1944 2232 2511 2592 2976 3348 3888 4464 5022 6696 7533 7776 8191 8928 10044 13392 15066 16382 20088 24573 26784 30132 32764 40176 49146 60264 65528 73719 80352 98292 120528 131056 147438 196584 221157 241056 253921 262112 294876 393168 442314 507842 589752 663471 761763 786336 884628 1015684 1179504 1326942 1523526 1769256 1990413 2031368 2285289 2359008 2653884 3047052 3538512 3980826 4062736 4570578 5307768 6094104 6855867 7077024 7961652 8125472 9141156 10615536 12188208 13711734 15923304 18282312 20567601 21231072 24376416 27423468 31846608 36564624 41135202 54846936 61702803 63693216 73129248 82270404 109693872 123405606 164540808 219387744 246811212 329081616 493622424 658163232 987244848 1974489696