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13966511916 = 2237474198443
BaseRepresentation
bin11010000000111100…
…00000111100101100
31100001100110022120010
431000132000330230
5212100411340131
610225514453220
71003050251430
oct150036007454
940040408503
1013966511916
115a17806135
122859434210
1314176b5346
14966c7a9c0
1556b21ab46
hex340780f2c

13966511916 has 96 divisors (see below), whose sum is σ = 38131752960. Its totient is φ = 3895746624.

The previous prime is 13966511903. The next prime is 13966511921. The reversal of 13966511916 is 61911566931.

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, 1649991 + ... + 1658433.

It is an arithmetic number, because the mean of its divisors is an integer number (397205760).

Almost surely, 213966511916 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 13966511916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19065876480).

13966511916 is an abundant number, since it is smaller than the sum of its proper divisors (24165241044).

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

13966511916 is a wasteful number, since it uses less digits than its factorization.

13966511916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8923 (or 8921 counting only the distinct ones).

The product of its digits is 262440, while the sum is 48.

The spelling of 13966511916 in words is "thirteen billion, nine hundred sixty-six million, five hundred eleven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 419 564 658 838 987 1257 1316 1676 1974 2514 2933 3948 5028 5866 8443 8799 11732 16886 17598 19693 25329 33772 35196 39386 50658 59079 59101 78772 101316 118158 118202 137851 177303 236316 236404 275702 354606 396821 413553 551404 709212 793642 827106 1190463 1587284 1654212 2380926 2777747 3537617 4761852 5555494 7075234 8333241 10612851 11110988 14150468 16666482 21225702 24763319 33332964 42451404 49526638 74289957 99053276 148579914 166267999 297159828 332535998 498803997 665071996 997607994 1163875993 1995215988 2327751986 3491627979 4655503972 6983255958 13966511916