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46068694496 = 2511837572083
BaseRepresentation
bin101010111001111010…
…000111110111100000
311101220121101011022022
4222321322013313200
51223322041210441
633055204001012
73220424304446
oct527172076740
9141817334268
1046068694496
11185a0639040
128b18390168
134462450856
14233057cb96
1512e968d84b
hexab9e87de0

46068694496 has 96 divisors (see below), whose sum is σ = 100315490688. Its totient is φ = 20650775040.

The previous prime is 46068694493. The next prime is 46068694499. The reversal of 46068694496 is 69449686064.

It is an interprime number because it is at equal distance from previous prime (46068694493) and next prime (46068694499).

It is a super-2 number, since 2×460686944962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46068694493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22115471 + ... + 22117553.

It is an arithmetic number, because the mean of its divisors is an integer number (1044953028).

Almost surely, 246068694496 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 46068694496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50157745344).

46068694496 is an abundant number, since it is smaller than the sum of its proper divisors (54246796192).

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

46068694496 is a wasteful number, since it uses less digits than its factorization.

46068694496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 62.

The spelling of 46068694496 in words is "forty-six billion, sixty-eight million, six hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 166 176 332 352 664 757 913 1328 1514 1826 2083 2656 3028 3652 4166 6056 7304 8327 8332 12112 14608 16654 16664 22913 24224 29216 33308 33328 45826 62831 66616 66656 91652 125662 133232 172889 183304 251324 266464 345778 366608 502648 691141 691556 733216 1005296 1382282 1383112 1576831 1901779 2010592 2764564 2766224 3153662 3803558 5529128 5532448 6307324 7607116 11058256 12614648 15214232 17345141 22116512 25229296 30428464 34690282 50458592 60856928 69380564 130876973 138761128 261753946 277522256 523507892 555044512 1047015784 1439646703 2094031568 2879293406 4188063136 5758586812 11517173624 23034347248 46068694496