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289379167116 = 2231321710218221
BaseRepresentation
bin1000011011000000101…
…01111010101110001100
31000122221022221211000020
410031200111322232030
514220122031321431
6340534451502140
726623041223104
oct4154025725614
91018838854006
10289379167116
111017a7aa5366
12481005b7950
1321399630300
1410012772204
1577da06a696
hex436057ab8c

289379167116 has 144 divisors (see below), whose sum is σ = 775014797088. Its totient is φ = 83709849600.

The previous prime is 289379167109. The next prime is 289379167157. The reversal of 289379167116 is 611761973982.

It is a self number, because there is not a number n which added to its sum of digits gives 289379167116.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35195886 + ... + 35204106.

It is an arithmetic number, because the mean of its divisors is an integer number (5382047202).

Almost surely, 2289379167116 is an apocalyptic number.

289379167116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289379167116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387507398544).

289379167116 is an abundant number, since it is smaller than the sum of its proper divisors (485635629972).

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

289379167116 is a wasteful number, since it uses less digits than its factorization.

289379167116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9292 (or 9277 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 60.

The spelling of 289379167116 in words is "two hundred eighty-nine billion, three hundred seventy-nine million, one hundred sixty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 884 1014 1021 1326 2028 2042 2652 2873 3063 4084 5746 6126 8221 8619 11492 12252 13273 16442 17238 17357 24663 26546 32884 34476 34714 39819 49326 52071 53092 69428 79638 98652 104142 106873 139757 159276 172549 208284 213746 225641 279514 320619 345098 419271 427492 451282 517647 559028 641238 676923 690196 838542 902564 1035294 1282476 1353846 1389349 1677084 1816841 2070588 2707692 2778698 2933333 3633682 4168047 5450523 5557396 5866666 7267364 8336094 8393641 8799999 10901046 11733332 16672188 16787282 17599998 21802092 23618933 25180923 33574564 35199996 47237866 50361846 70856799 94475732 100723692 109117333 141713598 142691897 218234666 283427196 285383794 327351999 428075691 436469332 570767588 654703998 856151382 1309407996 1418525329 1712302764 1854994661 2837050658 3709989322 4255575987 5564983983 5674101316 7419978644 8511151974 11129967966 17022303948 22259935932 24114930593 48229861186 72344791779 96459722372 144689583558 289379167116