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16161611040 = 2532511223341
BaseRepresentation
bin11110000110100111…
…01001110100100000
31112201022220220110200
433003103221310200
5231044333023130
611231411225200
71111333266351
oct170323516440
945638826420
1016161611040
116943898643
1231705a8200
1316a73bc073
14ad45ddd28
15648cba760
hex3c34e9d20

16161611040 has 72 divisors (see below), whose sum is σ = 55151502588. Its totient is φ = 4309762560.

The previous prime is 16161610991. The next prime is 16161611077. The reversal of 16161611040 is 4011616161.

It is a happy number.

16161611040 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 1 + 611 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14628418704 + 1533192336 = 120948^2 + 39156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×161616110402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16161610995 and 16161611013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5610231 + ... + 5613110.

Almost surely, 216161611040 is an apocalyptic number.

16161611040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16161611040 is an abundant number, since it is smaller than the sum of its proper divisors (38989891548).

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

16161611040 is a wasteful number, since it uses less digits than its factorization.

16161611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223362 (or 11223351 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 16161611040 in words is "sixteen billion, one hundred sixty-one million, six hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 11223341 22446682 33670023 44893364 56116705 67340046 89786728 101010069 112233410 134680092 168350115 179573456 202020138 224466820 269360184 336700230 359146912 404040276 448933640 505050345 538720368 673400460 808080552 897867280 1010100690 1077440736 1346800920 1616161104 1795734560 2020201380 2693601840 3232322208 4040402760 5387203680 8080805520 16161611040