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1006801521939 = 34891017713723
BaseRepresentation
bin11101010011010100000…
…11000000110100010011
310120020201201200112120000
432221222003000310103
5112443412142200224
62050303534421043
7132511323510033
oct16515203006423
93506651615500
101006801521939
11358a89237004
1214315b961783
1373c3042b135
1436a2d8998c3
151b2c89270c9
hexea6a0c0d13

1006801521939 has 40 divisors (see below), whose sum is σ = 1521146476080. Its totient is φ = 663545862144.

The previous prime is 1006801521937. The next prime is 1006801521961. The reversal of 1006801521939 is 9391251086001.

1006801521939 is a `hidden beast` number, since 10 + 0 + 6 + 80 + 1 + 521 + 9 + 39 = 666.

It is not a de Polignac number, because 1006801521939 - 21 = 1006801521937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006801521894 and 1006801521903.

It is not an unprimeable number, because it can be changed into a prime (1006801521937) 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 39 ways as a sum of consecutive naturals, for example, 73359132 + ... + 73372854.

It is an arithmetic number, because the mean of its divisors is an integer number (38028661902).

Almost surely, 21006801521939 is an apocalyptic number.

1006801521939 is a deficient number, since it is larger than the sum of its proper divisors (514344954141).

1006801521939 is a wasteful number, since it uses less digits than its factorization.

1006801521939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24001 (or 23992 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 1006801521939 in words is "one trillion, six billion, eight hundred one million, five hundred twenty-one thousand, nine hundred thirty-nine".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 10177 13723 30531 41169 91593 123507 274779 370521 824337 905753 1111563 1221347 2717259 3664041 8151777 10992123 24455331 32976369 73365993 98929107 139658971 418976913 1256930739 3770792217 11312376651 12429648419 37288945257 111866835771 335600507313 1006801521939