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16490771520 = 2635107160541
BaseRepresentation
bin11110101101110110…
…10011010001000000
31120120021021222202120
433112323103101000
5232233114142040
611324210244240
71122441150036
oct172673232100
946507258676
1016490771520
116aa26797a3
123242886680
13172a659992
14b26204556
15667b397d0
hex3d6ed3440

16490771520 has 112 divisors (see below), whose sum is σ = 52847857728. Its totient is φ = 4356413440.

The previous prime is 16490771489. The next prime is 16490771527. The reversal of 16490771520 is 2517709461.

It is a happy number.

16490771520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164907715202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16490771527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22450 + ... + 182990.

Almost surely, 216490771520 is an apocalyptic number.

16490771520 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 16490771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26423928864).

16490771520 is an abundant number, since it is smaller than the sum of its proper divisors (36357086208).

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

16490771520 is a wasteful number, since it uses less digits than its factorization.

16490771520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160668 (or 160658 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 16490771520 in words is "sixteen billion, four hundred ninety million, seven hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 160 192 214 240 320 321 428 480 535 642 856 960 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 6848 8560 10272 12840 17120 20544 25680 34240 51360 102720 160541 321082 481623 642164 802705 963246 1284328 1605410 1926492 2408115 2568656 3210820 3852984 4816230 5137312 6421640 7705968 9632460 10274624 12843280 15411936 17177887 19264920 25686560 30823872 34355774 38529840 51373120 51533661 68711548 77059680 85889435 103067322 137423096 154119360 171778870 206134644 257668305 274846192 343557740 412269288 515336610 549692384 687115480 824538576 1030673220 1099384768 1374230960 1649077152 2061346440 2748461920 3298154304 4122692880 5496923840 8245385760 16490771520