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3971405676 = 22372316312611
BaseRepresentation
bin1110110010110110…
…1101011101101100
3101020202220022102010
43230231231131230
531113134440201
61454025001220
7200262251130
oct35455553554
911222808363
103971405676
111758833957
1292a023210
134b3a1c4b4
1429962d3c0
151839c7bd6
hexecb6d76c

3971405676 has 96 divisors (see below), whose sum is σ = 11119546368. Its totient is φ = 1078608960.

The previous prime is 3971405651. The next prime is 3971405701. The reversal of 3971405676 is 6765041793.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3971405651) and next prime (3971405701).

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, 308611 + ... + 321221.

It is an arithmetic number, because the mean of its divisors is an integer number (115828608).

Almost surely, 23971405676 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 3971405676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559773184).

3971405676 is an abundant number, since it is smaller than the sum of its proper divisors (7148140692).

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

3971405676 is a wasteful number, since it uses less digits than its factorization.

3971405676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12811 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 3971405676 is about 63019.0897744485. The cubic root of 3971405676 is about 1583.6094477009.

The spelling of 3971405676 in words is "three billion, nine hundred seventy-one million, four hundred five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 163 276 322 326 483 489 644 652 966 978 1141 1932 1956 2282 3423 3749 4564 6846 7498 11247 12611 13692 14996 22494 25222 26243 37833 44988 50444 52486 75666 78729 88277 104972 151332 157458 176554 264831 290053 314916 353108 529662 580106 870159 1059324 1160212 1740318 2030371 2055593 3480636 4060742 4111186 6091113 6166779 8121484 8222372 12182226 12333558 14389151 24364452 24667116 28778302 43167453 47278639 57556604 86334906 94557278 141835917 172669812 189114556 283671834 330950473 567343668 661900946 992851419 1323801892 1985702838 3971405676