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2121606153636 = 223299770398929
BaseRepresentation
bin11110110111111001100…
…101001100010110100100
321111211020101021112001020
4132313321211030112210
5234230022133404021
64302352530531140
7306165243520104
oct36677145142644
97454211245036
102121606153636
1174884a3aaa02
122a3221736ab0
131250b342a3b8
147498724d204
153a2c3e9a7c6
hex1edf994c5a4

2121606153636 has 96 divisors (see below), whose sum is σ = 5175227904000. Its totient is φ = 675604758528.

The previous prime is 2121606153571. The next prime is 2121606153659. The reversal of 2121606153636 is 6363516061212.

It is a super-2 number, since 2×21216061536362 (a number of 25 digits) contains 22 as substring.

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, 237604020 + ... + 237612948.

It is an arithmetic number, because the mean of its divisors is an integer number (53908624000).

Almost surely, 22121606153636 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 2121606153636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587613952000).

2121606153636 is an abundant number, since it is smaller than the sum of its proper divisors (3053621750364).

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

2121606153636 is a wasteful number, since it uses less digits than its factorization.

2121606153636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16101 (or 16099 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 2121606153636 in words is "two trillion, one hundred twenty-one billion, six hundred six million, one hundred fifty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 29 58 87 97 116 174 194 291 348 388 582 1164 2813 5626 7039 8439 8929 11252 14078 16878 17858 21117 26787 28156 33756 35716 42234 53574 84468 107148 204131 258941 408262 517882 612393 682783 776823 816524 866113 1035764 1224786 1365566 1553646 1732226 2048349 2449572 2598339 2731132 3107292 3464452 4096698 5196678 8193396 10393356 19800707 25117277 39601414 50234554 59402121 62851231 75351831 79202828 100469108 118804242 125702462 150703662 188553693 237608484 251404924 301407324 377107386 754214772 1822685699 3645371398 5468057097 6096569407 7290742796 10936114194 12193138814 18289708221 21872228388 24386277628 36579416442 73158832884 176800512803 353601025606 530401538409 707202051212 1060803076818 2121606153636