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2132674648884 = 22321316372783749
BaseRepresentation
bin11111000010001101010…
…100001001101100110100
321112212210202121100002200
4133002031110021230310
5234420204202231014
64311423123104500
7310036444261413
oct37021524115464
97485722540080
102132674648884
1175250a27123a
122a53b0512130
131261585b7680
147531726d47a
153a720a69a09
hex1f08d509b34

2132674648884 has 72 divisors (see below), whose sum is σ = 5809162905000. Its totient is φ = 655806488832.

The previous prime is 2132674648879. The next prime is 2132674648931. The reversal of 2132674648884 is 4888464762312.

It is a happy number.

2132674648884 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 6 + 74 + 6 + 488 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 251223493284 + 1881451155600 = 501222^2 + 1371660^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 625759 + ... + 2157990.

It is an arithmetic number, because the mean of its divisors is an integer number (80682818125).

Almost surely, 22132674648884 is an apocalyptic number.

It is an amenable number.

2132674648884 is an abundant number, since it is smaller than the sum of its proper divisors (3676488256116).

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

2132674648884 is a wasteful number, since it uses less digits than its factorization.

2132674648884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785409 (or 2785404 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 63.

The spelling of 2132674648884 in words is "two trillion, one hundred thirty-two billion, six hundred seventy-four million, six hundred forty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1637 3274 4911 6548 9822 14733 19644 21281 29466 42562 58932 63843 85124 127686 191529 255372 383058 766116 2783749 5567498 8351247 11134996 16702494 25053741 33404988 36188737 50107482 72377474 100214964 108566211 144754948 217132422 325698633 434264844 651397266 1302794532 4556997113 9113994226 13670991339 18227988452 27341982678 41012974017 54683965356 59240962469 82025948034 118481924938 164051896068 177722887407 236963849876 355445774814 533168662221 710891549628 1066337324442 2132674648884