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16106432340 = 22351213221303
BaseRepresentation
bin11110000000000010…
…01010011101010100
31112120111002112112010
433000001022131110
5230441221313330
611222120424220
71110063262455
oct170001123524
945514075463
1016106432340
116915730009
123156018070
131698b3c74b
14acb15912c
1564401b3b0
hex3c004a754

16106432340 has 48 divisors (see below), whose sum is σ = 45135393408. Its totient is φ = 4291488384.

The previous prime is 16106432317. The next prime is 16106432359. The reversal of 16106432340 is 4323460161.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16106432298 and 16106432307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37872 + ... + 183431.

It is an arithmetic number, because the mean of its divisors is an integer number (940320696).

Almost surely, 216106432340 is an apocalyptic number.

16106432340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16106432340 is an abundant number, since it is smaller than the sum of its proper divisors (29028961068).

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

16106432340 is a wasteful number, since it uses less digits than its factorization.

16106432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222528 (or 222526 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 16106432340 in words is "sixteen billion, one hundred six million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1213 2426 3639 4852 6065 7278 12130 14556 18195 24260 36390 72780 221303 442606 663909 885212 1106515 1327818 2213030 2655636 3319545 4426060 6639090 13278180 268440539 536881078 805321617 1073762156 1342202695 1610643234 2684405390 3221286468 4026608085 5368810780 8053216170 16106432340