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1378511024085 = 335132371633007
BaseRepresentation
bin10100000011110101101…
…010001110111111010101
311212210011210200201021000
4110003311222032333111
5140041142310232320
62533140151213513
7201410534241336
oct24036552167725
94783153621230
101378511024085
11491694598668
121a31b8677299
139ccba8c9a00
144aa1269028d
1525cd1825c90
hex140f5a8efd5

1378511024085 has 96 divisors (see below), whose sum is σ = 2725425031680. Its totient is φ = 660309242112.

The previous prime is 1378511024057. The next prime is 1378511024113. The reversal of 1378511024085 is 5804201158731.

1378511024085 is a `hidden beast` number, since 1 + 37 + 8 + 511 + 0 + 24 + 0 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (1378511024057) and next prime (1378511024113).

It is not a de Polignac number, because 1378511024085 - 211 = 1378511022037 is a prime.

It is a super-4 number, since 4×13785110240854 (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1378511024085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27652 + ... + 1660658.

It is an arithmetic number, because the mean of its divisors is an integer number (28389844080).

Almost surely, 21378511024085 is an apocalyptic number.

1378511024085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1378511024085 is a deficient number, since it is larger than the sum of its proper divisors (1346914007595).

1378511024085 is a wasteful number, since it uses less digits than its factorization.

1378511024085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633084 (or 1633065 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1378511024085 in words is "one trillion, three hundred seventy-eight billion, five hundred eleven million, twenty-four thousand, eighty-five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 111 117 135 169 185 195 333 351 481 507 555 585 845 999 1443 1521 1665 1755 2405 2535 4329 4563 4995 6253 7215 7605 12987 18759 21645 22815 31265 56277 64935 93795 168831 281385 844155 1633007 4899021 8165035 14697063 21229091 24495105 44091189 60421259 63687273 73485315 106145455 181263777 191061819 220455945 275978183 302106295 318436365 543791331 573185457 785476367 827934549 906318885 955309095 1379890915 1631373993 2356429101 2483803647 2718956655 2865927285 3927381835 4139672745 7069287303 7451410941 8156869965 10211192771 11782145505 12419018235 21207861909 30633578313 35346436515 37257054705 51055963855 91900734939 106039309545 153167891565 275702204817 459503674695 1378511024085