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23678842096 = 24713311972663
BaseRepresentation
bin10110000011010111…
…100111010011110000
32021010012220210212201
4112003113213103300
5341443240421341
614513343432544
71465532560030
oct260327472360
967105823781
1023678842096
11a0510a8598
124709bb5754
132304901090
141208b198c0
15938c03331
hex5835e74f0

23678842096 has 160 divisors (see below), whose sum is σ = 58604249088. Its totient is φ = 9015874560.

The previous prime is 23678842087. The next prime is 23678842111. The reversal of 23678842096 is 69024887632.

It is a congruent number.

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, 8890461 + ... + 8893123.

Almost surely, 223678842096 is an apocalyptic number.

23678842096 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 23678842096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302124544).

23678842096 is an abundant number, since it is smaller than the sum of its proper divisors (34925406992).

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

23678842096 is a wasteful number, since it uses less digits than its factorization.

23678842096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 23678842096 in words is "twenty-three billion, six hundred seventy-eight million, eight hundred forty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 197 208 217 248 364 394 403 434 496 728 788 806 868 1379 1456 1576 1612 1736 2561 2663 2758 2821 3152 3224 3472 5122 5326 5516 5642 6107 6448 10244 10652 11032 11284 12214 17927 18641 20488 21304 22064 22568 24428 34619 35854 37282 40976 42608 42749 45136 48856 69238 71708 74564 79391 82553 85498 97712 138476 143416 149128 158782 165106 170996 242333 276952 286832 298256 317564 330212 341992 484666 524611 553904 555737 577871 635128 660424 683984 969332 1049222 1073189 1111474 1155742 1270256 1320848 1938664 2098444 2146378 2222948 2311484 3672277 3877328 4196888 4292756 4445896 4622968 6819943 7344554 7512323 8393776 8585512 8891792 9245936 13639886 14689108 15024646 16262941 17171024 27279772 29378216 30049292 32525882 47739601 54559544 58756432 60098584 65051764 95479202 109119088 113840587 120197168 130103528 190958404 211418233 227681174 260207056 381916808 422836466 455362348 763833616 845672932 910724696 1479927631 1691345864 1821449392 2959855262 3382691728 5919710524 11839421048 23678842096