Search a number
-
+
15326719968 = 253719263179
BaseRepresentation
bin11100100011000101…
…10010111111100000
31110120010221001020010
432101202302333200
5222342120014333
611012504444520
71051544653530
oct162142627740
943503831203
1015326719968
11655559661a
122b78a79740
1315a3440b91
14a557914c0
155ea850563
hex3918b2fe0

15326719968 has 144 divisors (see below), whose sum is σ = 48528305280. Its totient is φ = 4148520192.

The previous prime is 15326719939. The next prime is 15326719981. The reversal of 15326719968 is 86991762351.

15326719968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 211003 + ... + 274181.

It is an arithmetic number, because the mean of its divisors is an integer number (337002120).

Almost surely, 215326719968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15326719968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24264152640).

15326719968 is an abundant number, since it is smaller than the sum of its proper divisors (33201585312).

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

15326719968 is a wasteful number, since it uses less digits than its factorization.

15326719968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63237 (or 63210 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The spelling of 15326719968 in words is "fifteen billion, three hundred twenty-six million, seven hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 361 399 456 532 608 672 722 798 912 1064 1083 1444 1596 1824 2128 2166 2527 2888 3192 4256 4332 5054 5776 6384 7581 8664 10108 11552 12768 15162 17328 20216 30324 34656 40432 60648 63179 80864 121296 126358 189537 242592 252716 379074 442253 505432 758148 884506 1010864 1200401 1326759 1516296 1769012 2021728 2400802 2653518 3032592 3538024 3601203 4801604 5307036 6065184 7076048 7202406 8402807 9603208 10614072 14152096 14404812 16805614 19206416 21228144 22807619 25208421 28809624 33611228 38412832 42456288 45615238 50416842 57619248 67222456 68422857 91230476 100833684 115238496 134444912 136845714 159653333 182460952 201667368 268889824 273691428 319306666 364921904 403334736 478959999 547382856 638613332 729843808 806669472 957919998 1094765712 1277226664 1915839996 2189531424 2554453328 3831679992 5108906656 7663359984 15326719968