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16420647400 = 23521916072689
BaseRepresentation
bin11110100101011111…
…10011000111101000
31120101101100022112221
433102233303013220
5232112141204100
611313223243424
71120630125403
oct172257630750
946341308487
1016420647400
116a67033483
1232232a9574
131718c76811
14b1ab8cd3a
156618d701a
hex3d2bf31e8

16420647400 has 96 divisors (see below), whose sum is σ = 40227336000. Its totient is φ = 6216376320.

The previous prime is 16420647371. The next prime is 16420647421. The reversal of 16420647400 is 474602461.

It is a super-2 number, since 2×164206474002 (a number of 21 digits) contains 22 as substring.

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, 6105256 + ... + 6107944.

It is an arithmetic number, because the mean of its divisors is an integer number (419034750).

Almost surely, 216420647400 is an apocalyptic number.

16420647400 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 16420647400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20113668000).

16420647400 is an abundant number, since it is smaller than the sum of its proper divisors (23806688600).

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

16420647400 is a wasteful number, since it uses less digits than its factorization.

16420647400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 16420647400 in words is "sixteen billion, four hundred twenty million, six hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1607 1900 2689 3214 3800 5378 6428 8035 10756 12856 13445 16070 21512 26890 30533 32140 40175 51091 53780 61066 64280 67225 80350 102182 107560 122132 134450 152665 160700 204364 244264 255455 268900 305330 321400 408728 510910 537800 610660 763325 1021820 1221320 1277275 1526650 2043640 2554550 3053300 4321223 5109100 6106600 8642446 10218200 17284892 21606115 34569784 43212230 82103237 86424460 108030575 164206474 172848920 216061150 328412948 410516185 432122300 656825896 821032370 864244600 1642064740 2052580925 3284129480 4105161850 8210323700 16420647400