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161606109983616 = 2732487288055609
BaseRepresentation
bin100100101111101011011010…
…110001110111001110000000
3210012012101121122222212001200
4210233223122301313032000
5132140223303123433431
61331412453320101200
746016441025656244
oct4457533261671600
9705171548885050
10161606109983616
1147546848028901
121616041b304800
136c23510713c8c
142bc9ac54b4424
1513a3b2c066ee6
hex92fadac77380

161606109983616 has 96 divisors (see below), whose sum is σ = 465993321409200. Its totient is φ = 53758089787392.

The previous prime is 161606109983611. The next prime is 161606109983663. The reversal of 161606109983616 is 616389901606161.

161606109983616 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 0 + 6 + 1 + 0 + 9 + 9 + 8 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1616061099836162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161606109983611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143466781 + ... + 144588828.

Almost surely, 2161606109983616 is an apocalyptic number.

161606109983616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

161606109983616 is an abundant number, since it is smaller than the sum of its proper divisors (304387211425584).

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

161606109983616 is a wasteful number, since it uses less digits than its factorization.

161606109983616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288056116 (or 288056101 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 161606109983616 in words is "one hundred sixty-one trillion, six hundred six billion, one hundred nine million, nine hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 487 576 974 1152 1461 1948 2922 3896 4383 5844 7792 8766 11688 15584 17532 23376 31168 35064 46752 62336 70128 93504 140256 187008 280512 561024 288055609 576111218 864166827 1152222436 1728333654 2304444872 2592500481 3456667308 4608889744 5185000962 6913334616 9217779488 10370001924 13826669232 18435558976 20740003848 27653338464 36871117952 41480007696 55306676928 82960015392 110613353856 140283081583 165920030784 280566163166 331840061568 420849244749 561132326332 841698489498 1122264652664 1262547734247 1683396978996 2244529305328 2525095468494 3366793957992 4489058610656 5050190936988 6733587915984 8978117221312 10100381873976 13467175831968 17956234442624 20200763747952 26934351663936 40401527495904 53868703327872 80803054991808 161606109983616