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2648649135984 = 2431719755729581
BaseRepresentation
bin100110100010101111110…
…010100111011101110000
3100101012121220122002000120
4212202233302213131300
5321343413134322414
65344434515050240
7362233665121545
oct46425762473560
910335556562016
102648649135984
11931316429295
123693ab2a0980
131629c7127b77
14922a3ca2bcc
1548d6dd042a9
hex268afca7770

2648649135984 has 160 divisors (see below), whose sum is σ = 7294929719616. Its totient is φ = 825218580480.

The previous prime is 2648649135973. The next prime is 2648649135991. The reversal of 2648649135984 is 4895319468462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89524074 + ... + 89553654.

Almost surely, 22648649135984 is an apocalyptic number.

2648649135984 is a gapful number since it is divisible by the number (24) 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 2648649135984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647464859808).

2648649135984 is an abundant number, since it is smaller than the sum of its proper divisors (4646280583632).

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

2648649135984 is a wasteful number, since it uses less digits than its factorization.

2648649135984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30363 (or 30357 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 69.

The spelling of 2648649135984 in words is "two trillion, six hundred forty-eight billion, six hundred forty-nine million, one hundred thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 197 204 272 394 408 557 591 788 816 1114 1182 1576 1671 2228 2364 3152 3342 3349 4456 4728 6684 6698 8912 9456 9469 10047 13368 13396 18938 20094 26736 26792 28407 29581 37876 40188 53584 56814 59162 75752 80376 88743 109729 113628 118324 151504 160752 177486 219458 227256 236648 329187 354972 438916 454512 473296 502877 658374 709944 877832 1005754 1316748 1419888 1508631 1755664 1865393 2011508 2633496 3017262 3730786 4023016 5266992 5596179 5827457 6034524 7461572 8046032 11192358 11654914 12069048 14923144 16476617 17482371 22384716 23309828 24138096 29846288 32953234 34964742 44769432 46619656 49429851 65906468 69929484 89538864 93239312 98859702 99066769 131812936 139858968 197719404 198133538 263625872 279717936 280102489 297200307 395438808 396267076 560204978 594400614 790877616 792534152 840307467 1120409956 1188801228 1585068304 1680614934 2240819912 2377602456 3245893549 3361229868 4481639824 4755204912 6491787098 6722459736 9737680647 12983574196 13444919472 19475361294 25967148392 38950722588 51934296784 55180190333 77901445176 110360380666 155802890352 165540570999 220720761332 331081141998 441441522664 662162283996 882883045328 1324324567992 2648649135984