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900345040089 = 3111071631564313
BaseRepresentation
bin11010001101000001011…
…11110000110011011001
310012001221121000221020220
431012200233300303121
5104222401312240324
61525340210510253
7122022250366215
oct15064057606331
93161847027226
10900345040089
1131791a3375a0
121265ab895389
1366b960c6841
1431811161945
1518647985b79
hexd1a0bf0cd9

900345040089 has 32 divisors (see below), whose sum is σ = 1329942219264. Its totient is φ = 537247313280.

The previous prime is 900345040087. The next prime is 900345040117. The reversal of 900345040089 is 980040543009.

900345040089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 900345040089 - 21 = 900345040087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 900345040089.

It is not an unprimeable number, because it can be changed into a prime (900345040087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206604 + ... + 1357709.

It is an arithmetic number, because the mean of its divisors is an integer number (41560694352).

Almost surely, 2900345040089 is an apocalyptic number.

It is an amenable number.

900345040089 is a deficient number, since it is larger than the sum of its proper divisors (429597179175).

900345040089 is a wasteful number, since it uses less digits than its factorization.

900345040089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564597.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 900345040089 in words is "nine hundred billion, three hundred forty-five million, forty thousand, eighty-nine".

Divisors: 1 3 11 33 107 163 321 489 1177 1793 3531 5379 17441 52323 191851 575553 1564313 4692939 17207443 51622329 167381491 254983019 502144473 764949057 1841196401 2804813209 5523589203 8414439627 27283183033 81849549099 300115013363 900345040089