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16416356440 = 23511191963679
BaseRepresentation
bin11110100100111110…
…11011100001011000
31120101002021022110111
433102133123201120
5232110041401230
611312551254104
71120545504331
oct172237334130
946332238414
1016416356440
116a64672630
12322197a334
1317181036a3
14b1a393288
1566133a92a
hex3d27db858

16416356440 has 64 divisors (see below), whose sum is σ = 42415488000. Its totient is φ = 5655392640.

The previous prime is 16416356401. The next prime is 16416356447. The reversal of 16416356440 is 4465361461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 16416356393 and 16416356402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16416356447) 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 15 ways as a sum of consecutive naturals, for example, 973480 + ... + 990199.

It is an arithmetic number, because the mean of its divisors is an integer number (662742000).

Almost surely, 216416356440 is an apocalyptic number.

16416356440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16416356440 is an abundant number, since it is smaller than the sum of its proper divisors (25999131560).

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

16416356440 is a wasteful number, since it uses less digits than its factorization.

16416356440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963720 (or 1963716 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 16416356440 in words is "sixteen billion, four hundred sixteen million, three hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 1963679 3927358 7854716 9818395 15709432 19636790 21600469 37309901 39273580 43200938 74619802 78547160 86401876 108002345 149239604 172803752 186549505 216004690 298479208 373099010 410408911 432009380 746198020 820817822 864018760 1492396040 1641635644 2052044555 3283271288 4104089110 8208178220 16416356440