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3957325680 = 2435711214141
BaseRepresentation
bin1110101111011111…
…1111111101110000
3101012210101222021210
43223313333331300
531101033410210
61452403120120
7200031466440
oct35367777560
911183358253
103957325680
1117508973a0
12925373040
134b0b2c839
14297806120
15182645e20
hexebdfff70

3957325680 has 160 divisors (see below), whose sum is σ = 15294878208. Its totient is φ = 822297600.

The previous prime is 3957325667. The next prime is 3957325727. The reversal of 3957325680 is 865237593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88591 + ... + 125550.

Almost surely, 23957325680 is an apocalyptic number.

3957325680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3957325680 is an abundant number, since it is smaller than the sum of its proper divisors (11337552528).

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

3957325680 is a wasteful number, since it uses less digits than its factorization.

3957325680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214175 (or 214169 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 3957325680 is about 62907.2784342162. The cubic root of 3957325680 is about 1581.7357520072.

The spelling of 3957325680 in words is "three billion, nine hundred fifty-seven million, three hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 214141 428282 642423 856564 1070705 1284846 1498987 1713128 2141410 2355551 2569692 2997974 3212115 3426256 4282820 4496961 4711102 5139384 5995948 6424230 7066653 7494935 8565640 8993922 9422204 10278768 11777755 11991896 12848460 14133306 14989870 16488857 17131280 17987844 18844408 22484805 23555510 23983792 25696920 28266612 29979740 32977714 35333265 35975688 37688816 44969610 47111020 49466571 51393840 56533224 59959480 65955428 70666530 71951376 82444285 89939220 94222040 98933142 113066448 119918960 131910856 141333060 164888570 179878440 188444080 197866284 247332855 263821712 282666120 329777140 359756880 395732568 494665710 565332240 659554280 791465136 989331420 1319108560 1978662840 3957325680