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6972121960 = 235317377023
BaseRepresentation
bin1100111111001001…
…00010001101101000
3122222220021111022021
412133210202031220
5103234330400320
63111500434224
7334530026116
oct63744421550
918886244267
106972121960
112a58643471
121426b48974
138715c4a6b
144a1d80ab6
152ac15ddaa
hex19f922368

6972121960 has 64 divisors (see below), whose sum is σ = 16415354880. Its totient is φ = 2661880320.

The previous prime is 6972121939. The next prime is 6972121967. The reversal of 6972121960 is 691212796.

It is a happy number.

It is a super-2 number, since 2×69721219602 = 97220969250228483200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6972121967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52009 + ... + 129031.

It is an arithmetic number, because the mean of its divisors is an integer number (256489920).

Almost surely, 26972121960 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 6972121960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207677440).

6972121960 is an abundant number, since it is smaller than the sum of its proper divisors (9443232920).

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

6972121960 is a wasteful number, since it uses less digits than its factorization.

6972121960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77138 (or 77134 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 6972121960 is about 83499.2332898931. The cubic root of 6972121960 is about 1910.3883387533.

The spelling of 6972121960 in words is "six billion, nine hundred seventy-two million, one hundred twenty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 124 146 155 248 292 310 365 584 620 730 1240 1460 2263 2920 4526 9052 11315 18104 22630 45260 77023 90520 154046 308092 385115 616184 770230 1540460 2387713 3080920 4775426 5622679 9550852 11245358 11938565 19101704 22490716 23877130 28113395 44981432 47754260 56226790 95508520 112453580 174303049 224907160 348606098 697212196 871515245 1394424392 1743030490 3486060980 6972121960