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29195261312 = 277193197857
BaseRepresentation
bin11011001100001011…
…000101010110000000
32210100200000221102112
4123030023011112000
5434242441330222
621225003434452
72052325424630
oct331413052600
983320027375
1029195261312
1111421a66a38
1257a9525a28
1329a3743369
1415ad6086c0
15b5d167be2
hex6cc2c5580

29195261312 has 128 divisors (see below), whose sum is σ = 67233291840. Its totient is φ = 12369788928.

The previous prime is 29195261309. The next prime is 29195261363. The reversal of 29195261312 is 21316259192.

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

It is a super-2 number, since 2×291952613122 (a number of 22 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 29195261312.

It is a congruent number.

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, 34066388 + ... + 34067244.

Almost surely, 229195261312 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 29195261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33616645920).

29195261312 is an abundant number, since it is smaller than the sum of its proper divisors (38038030528).

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

29195261312 is a wasteful number, since it uses less digits than its factorization.

29195261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1256 counting only the distinct ones).

The product of its digits is 58320, while the sum is 41.

The spelling of 29195261312 in words is "twenty-nine billion, one hundred ninety-five million, two hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 193 197 224 386 394 448 772 788 857 896 1351 1379 1544 1576 1714 2702 2758 3088 3152 3428 5404 5516 5999 6176 6304 6856 10808 11032 11998 12352 12608 13712 21616 22064 23996 24704 25216 27424 38021 43232 44128 47992 54848 76042 86464 88256 95984 109696 152084 165401 168829 172928 176512 191968 266147 304168 330802 337658 383936 532294 608336 661604 675316 767872 1064588 1157807 1181803 1216672 1323208 1350632 2129176 2315614 2363606 2433344 2646416 2701264 4258352 4631228 4727212 4866688 5292832 5402528 8516704 9262456 9454424 10585664 10805056 17033408 18524912 18908848 21171328 21610112 32583997 34066816 37049824 37817696 65167994 74099648 75635392 130335988 148199296 151270784 228087979 260671976 456175958 521343952 912351916 1042687904 1824703832 2085375808 3649407664 4170751616 7298815328 14597630656 29195261312