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3192997968 = 24344875059
BaseRepresentation
bin1011111001010001…
…0100100001010000
322020112012002210000
42332110110201100
523014401413333
61244501010000
7142061014656
oct27624244120
98215162700
103192997968
1113994006a6
127513b3900
133bb689714
142240c4dd6
1513a4b8713
hexbe514850

3192997968 has 100 divisors (see below), whose sum is σ = 9262269280. Its totient is φ = 1061937216.

The previous prime is 3192997961. The next prime is 3192997979. The reversal of 3192997968 is 8697992913.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3192997961) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 628623 + ... + 633681.

Almost surely, 23192997968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3192997968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631134640).

3192997968 is an abundant number, since it is smaller than the sum of its proper divisors (6069271312).

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

3192997968 is a wasteful number, since it uses less digits than its factorization.

3192997968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5551 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 63.

The square root of 3192997968 is about 56506.6187981550. The cubic root of 3192997968 is about 1472.5369934488.

The spelling of 3192997968 in words is "three billion, one hundred ninety-two million, nine hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 487 648 974 1296 1461 1948 2922 3896 4383 5059 5844 7792 8766 10118 11688 13149 15177 17532 20236 23376 26298 30354 35064 39447 40472 45531 52596 60708 70128 78894 80944 91062 105192 121416 136593 157788 182124 210384 242832 273186 315576 364248 409779 546372 631152 728496 819558 1092744 1639116 2185488 2463733 3278232 4927466 6556464 7391199 9854932 14782398 19709864 22173597 29564796 39419728 44347194 59129592 66520791 88694388 118259184 133041582 177388776 199562373 266083164 354777552 399124746 532166328 798249492 1064332656 1596498984 3192997968