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14782381960 = 2351736315987
BaseRepresentation
bin11011100010001100…
…10011111110001000
31102011012122210212011
431301012103332020
5220233242210320
610442501425304
71032215113333
oct156106237610
942135583764
1014782381960
1162a62a63a5
122a4670b234
131517733898
14a0337761a
155b7b7a05a
hex371193f88

14782381960 has 64 divisors (see below), whose sum is σ = 35232433920. Its totient is φ = 5562670080.

The previous prime is 14782381949. The next prime is 14782381963. The reversal of 14782381960 is 6918328741.

14782381960 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 2×147823819602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14782381963) 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, 2466087 + ... + 2472073.

It is an arithmetic number, because the mean of its divisors is an integer number (550506780).

Almost surely, 214782381960 is an apocalyptic number.

14782381960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14782381960 is an abundant number, since it is smaller than the sum of its proper divisors (20450051960).

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

14782381960 is a wasteful number, since it uses less digits than its factorization.

14782381960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 9642 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 14782381960 in words is "fourteen billion, seven hundred eighty-two million, three hundred eighty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3631 5987 7262 11974 14524 18155 23948 29048 29935 36310 47896 59870 61727 72620 101779 119740 123454 145240 203558 239480 246908 308635 407116 493816 508895 617270 814232 1017790 1234540 2035580 2469080 4071160 21738797 43477594 86955188 108693985 173910376 217387970 369559549 434775940 739119098 869551880 1478238196 1847797745 2956476392 3695595490 7391190980 14782381960