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161405676100 = 225283122915823
BaseRepresentation
bin1001011001010010000…
…1110010101001000100
3120102121122020220002201
42112110201302221010
510121024323113400
6202052043444244
714442532416154
oct2262441625104
9512548226081
10161405676100
11624a7329449
1227346526684
13122b3554b26
147b524a2764
1542ea0a406a
hex2594872a44

161405676100 has 72 divisors (see below), whose sum is σ = 354781042560. Its totient is φ = 63728484480.

The previous prime is 161405676073. The next prime is 161405676137. The reversal of 161405676100 is 1676504161.

It is a super-2 number, since 2×1614056761002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161405676100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10192789 + ... + 10208611.

It is an arithmetic number, because the mean of its divisors is an integer number (4927514480).

Almost surely, 2161405676100 is an apocalyptic number.

161405676100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161405676100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177390521280).

161405676100 is an abundant number, since it is smaller than the sum of its proper divisors (193375366460).

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

161405676100 is a wasteful number, since it uses less digits than its factorization.

161405676100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17149 (or 17142 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 161405676100 in words is "one hundred sixty-one billion, four hundred five million, six hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1229 1660 2075 2458 4150 4916 6145 8300 12290 15823 24580 30725 31646 61450 63292 79115 102007 122900 158230 204014 316460 395575 408028 510035 791150 1020070 1313309 1582300 2040140 2550175 2626618 5100350 5253236 6566545 10200700 13133090 19446467 26266180 32832725 38892934 65665450 77785868 97232335 131330900 194464670 388929340 486161675 972323350 1614056761 1944646700 3228113522 6456227044 8070283805 16140567610 32281135220 40351419025 80702838050 161405676100