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4018136102096 = 243119988346103
BaseRepresentation
bin111010011110001011100…
…100110011010011010000
3112020010111210222010221012
4322132023210303103100
51011313120320231341
612313523425350052
7563205105222254
oct72361344632320
915203453863835
104018136102096
11130a09a0935a6
1254a8a9798328
13231ba72a00ac
14dc69bc78264
156e7c329a0eb
hex3a78b9334d0

4018136102096 has 80 divisors (see below), whose sum is σ = 8085977702400. Its totient is φ = 1932256529280.

The previous prime is 4018136102087. The next prime is 4018136102131. The reversal of 4018136102096 is 6902016318104.

4018136102096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40181361020962 (a number of 26 digits) contains 22 as substring.

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, 87132581 + ... + 87178683.

It is an arithmetic number, because the mean of its divisors is an integer number (101074721280).

Almost surely, 24018136102096 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 4018136102096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042988851200).

4018136102096 is an abundant number, since it is smaller than the sum of its proper divisors (4067841600304).

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

4018136102096 is a wasteful number, since it uses less digits than its factorization.

4018136102096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47224 (or 47218 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 4018136102096 in words is "four trillion, eighteen billion, one hundred thirty-six million, one hundred two thousand, ninety-six".

Divisors: 1 2 4 8 16 31 62 124 199 248 398 496 796 883 1592 1766 3184 3532 6169 7064 12338 14128 24676 27373 46103 49352 54746 92206 98704 109492 175717 184412 218984 351434 368824 437968 702868 737648 1405736 1429193 2811472 2858386 5447227 5716772 9174497 10894454 11433544 18348994 21788908 22867088 36697988 40708949 43577816 73395976 81417898 87155632 146791952 162835796 284409407 325671592 568818814 651343184 1137637628 1261977419 2275275256 2523954838 4550550512 5047909676 8101080851 10095819352 16202161702 20191638704 32404323404 64808646808 129617293616 251133506381 502267012762 1004534025524 2009068051048 4018136102096