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3928166970 = 2357131975731
BaseRepresentation
bin1110101000100011…
…0001001000111010
3101010202112120001120
43222020301020322
531021102320340
61445442130110
7166225603560
oct35210611072
911122476046
103928166970
111736390a92
12917650936
134a7a90770
142939b5a30
1517ecd64d0
hexea23123a

3928166970 has 128 divisors (see below), whose sum is σ = 12214056960. Its totient is φ = 785168640.

The previous prime is 3928166947. The next prime is 3928166971. The reversal of 3928166970 is 796618293.

It is not an unprimeable number, because it can be changed into a prime (3928166971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14005 + ... + 89735.

It is an arithmetic number, because the mean of its divisors is an integer number (95422320).

Almost surely, 23928166970 is an apocalyptic number.

3928166970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3928166970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107028480).

3928166970 is an abundant number, since it is smaller than the sum of its proper divisors (8285889990).

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

3928166970 is a wasteful number, since it uses less digits than its factorization.

3928166970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75780.

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 3928166970 is about 62675.0905065162. The cubic root of 3928166970 is about 1577.8412769396.

The spelling of 3928166970 in words is "three billion, nine hundred twenty-eight million, one hundred sixty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1330 1365 1482 1729 1995 2470 2730 3458 3705 3990 5187 7410 8645 10374 17290 25935 51870 75731 151462 227193 378655 454386 530117 757310 984503 1060234 1135965 1438889 1590351 1969006 2271930 2650585 2877778 2953509 3180702 4316667 4922515 5301170 5907018 6891521 7194445 7951755 8633334 9845030 10072223 13783042 14388890 14767545 15903510 18705557 20144446 20674563 21583335 29535090 30216669 34457605 37411114 41349126 43166670 50361115 56116671 60433338 68915210 93527785 100722230 103372815 112233342 130938899 151083345 187055570 206745630 261877798 280583355 302166690 392816697 561166710 654694495 785633394 1309388990 1964083485 3928166970