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8213072136204 = 22313671847425441
BaseRepresentation
bin111011110000100000100…
…1111110100100000001100
31002002011101010012102002110
41313201001033310200030
52034030332431324304
625245011103224020
71505242404202425
oct167410117644014
932064333172073
108213072136204
112687165119891
12b078b92a8010
13477649220c70
1420572c90664c
15e3992d3a289
hex778413f480c

8213072136204 has 96 divisors (see below), whose sum is σ = 20957395447296. Its totient is φ = 2488027576320.

The previous prime is 8213072136173. The next prime is 8213072136221. The reversal of 8213072136204 is 4026312703128.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19092124 + ... + 19517564.

It is an arithmetic number, because the mean of its divisors is an integer number (218306202576).

Almost surely, 28213072136204 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 8213072136204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478697723648).

8213072136204 is an abundant number, since it is smaller than the sum of its proper divisors (12744323311092).

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

8213072136204 is a wasteful number, since it uses less digits than its factorization.

8213072136204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427375 (or 427373 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 8213072136204 in words is "eight trillion, two hundred thirteen billion, seventy-two million, one hundred thirty-six thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 871 1742 1847 2613 3484 3694 5226 5541 7388 10452 11082 22164 24011 48022 72033 96044 123749 144066 247498 288132 371247 425441 494996 742494 850882 1276323 1484988 1608737 1701764 2552646 3217474 4826211 5105292 5530733 6434948 9652422 11061466 16592199 19304844 22122932 28504547 33184398 57009094 66368796 85513641 114018188 171027282 342054564 370559111 741118222 785789527 1111677333 1482236444 1571579054 2223354666 2357368581 3143158108 4446709332 4714737162 9429474324 10215263851 20430527702 30645791553 40861055404 52647898309 61291583106 105295796618 122583166212 157943694927 210591593236 315887389854 631774779708 684422678017 1368845356034 2053268034051 2737690712068 4106536068102 8213072136204