Search a number
-
+
16950998416 = 241142692
BaseRepresentation
bin11111100100101101…
…11011010110010000
31121202100021221101011
433302112323112100
5234203423422131
611442010420304
71140030052312
oct176226732620
947670257334
1016950998416
117209440000
123350a31694
1317a1ac75a1
14b6b3a57b2
156932480b1
hex3f25bb590

16950998416 has 75 divisors (see below), whose sum is σ = 36261389905. Its totient is φ = 7676356160.

The previous prime is 16950998411. The next prime is 16950998419. The reversal of 16950998416 is 61489905961.

The square root of 16950998416 is 130196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1115292816 + 15835705600 = 33396^2 + 125840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16950998411) 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 14 ways as a sum of consecutive naturals, for example, 63014730 + ... + 63014998.

Almost surely, 216950998416 is an apocalyptic number.

16950998416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16950998416 is the 130196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16950998416

16950998416 is an abundant number, since it is smaller than the sum of its proper divisors (19310391489).

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

16950998416 is an frugal number, since it uses more digits than its factorization.

16950998416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 58.

The spelling of 16950998416 in words is "sixteen billion, nine hundred fifty million, nine hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 269 484 538 968 1076 1331 1936 2152 2662 2959 4304 5324 5918 10648 11836 14641 21296 23672 29282 32549 47344 58564 65098 72361 117128 130196 144722 234256 260392 289444 358039 520784 578888 716078 795971 1157776 1432156 1591942 2864312 3183884 3938429 5728624 6367768 7876858 8755681 12735536 15753716 17511362 31507432 35022724 63014864 70045448 96312491 140090896 192624982 385249964 770499928 1059437401 1540999856 2118874802 4237749604 8475499208 16950998416