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701227299968 = 27131767369983
BaseRepresentation
bin10100011010001000110…
…01110111010010000000
32111000222201212200210022
422031010121313102000
542442103142044333
61254050034353012
7101443031463356
oct12150431672200
92430881780708
10701227299968
11250430591298
12b3a9b72b768
13511827cc440
1425d222dd7d6
1513391bd6c98
hexa344677480

701227299968 has 128 divisors (see below), whose sum is σ = 1616711685120. Its totient is φ = 300058361856.

The previous prime is 701227299959. The next prime is 701227299977. The reversal of 701227299968 is 869992722107.

It is an interprime number because it is at equal distance from previous prime (701227299959) and next prime (701227299977).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7012272999682 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 701227299968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1710305 + ... + 2080287.

It is an arithmetic number, because the mean of its divisors is an integer number (12630560040).

Almost surely, 2701227299968 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 701227299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808355842560).

701227299968 is an abundant number, since it is smaller than the sum of its proper divisors (915484385152).

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

701227299968 is a wasteful number, since it uses less digits than its factorization.

701227299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370094 (or 370082 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 62.

The spelling of 701227299968 in words is "seven hundred one billion, two hundred twenty-seven million, two hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 67 68 104 128 134 136 208 221 268 272 416 442 536 544 832 871 884 1072 1088 1139 1664 1742 1768 2144 2176 2278 3484 3536 4288 4556 6968 7072 8576 9112 13936 14144 14807 18224 27872 28288 29614 36448 55744 59228 72896 111488 118456 145792 236912 369983 473824 739966 947648 1479932 1895296 2959864 4809779 5919728 6289711 9619558 11839456 12579422 19239116 23678912 24788861 25158844 38478232 47357824 49577722 50317688 76956464 81766243 99155444 100635376 153912928 163532486 198310888 201270752 307825856 322255193 327064972 396621776 402541504 421410637 615651712 644510386 654129944 793243552 805083008 842821274 1289020772 1308259888 1586487104 1685642548 2578041544 2616519776 3172974208 3371285096 5156083088 5233039552 5478338281 6742570192 10312166176 10466079104 10956676562 13485140384 20624332352 21913353124 26970280768 41248664704 43826706248 53940561536 87653412496 175306824992 350613649984 701227299968