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161630403440 = 24511183670913
BaseRepresentation
bin1001011010000111101…
…1000011101101110000
3120110012022010020001112
42112201323003231300
510122004340402230
6202130232252452
714451231522002
oct2264173035560
9513168106045
10161630403440
1162602170420
12273a9841128
131231ac8919c
147b74280372
15430eb94d95
hex25a1ec3b70

161630403440 has 40 divisors (see below), whose sum is σ = 409953480048. Its totient is φ = 58774691840.

The previous prime is 161630403433. The next prime is 161630403449. The reversal of 161630403440 is 44304036161.

161630403440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1616304034402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161630403397 and 161630403406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161630403449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91834577 + ... + 91836336.

Almost surely, 2161630403440 is an apocalyptic number.

161630403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161630403440 is an abundant number, since it is smaller than the sum of its proper divisors (248323076608).

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

161630403440 is a wasteful number, since it uses less digits than its factorization.

161630403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183670937 (or 183670931 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 161630403440 in words is "one hundred sixty-one billion, six hundred thirty million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 183670913 367341826 734683652 918354565 1469367304 1836709130 2020380043 2938734608 3673418260 4040760086 7346836520 8081520172 10101900215 14693673040 16163040344 20203800430 32326080688 40407600860 80815201720 161630403440