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8011921152 = 283101103289
BaseRepresentation
bin1110111011000110…
…00011011100000000
3202200100211202122110
413131203003130000
5112402022434102
63403003135320
7402354130464
oct73543033400
922610752573
108011921152
11344157aa44
121677214540
139a8b58261
145600cc4a4
1531d5a286c
hex1dd8c3700

8011921152 has 72 divisors (see below), whose sum is σ = 21534725520. Its totient is φ = 2644172800.

The previous prime is 8011921091. The next prime is 8011921153. The reversal of 8011921152 is 2511291108.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8011921153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25924 + ... + 129212.

It is an arithmetic number, because the mean of its divisors is an integer number (299093410).

Almost surely, 28011921152 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 8011921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10767362760).

8011921152 is an abundant number, since it is smaller than the sum of its proper divisors (13522804368).

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

8011921152 is a wasteful number, since it uses less digits than its factorization.

8011921152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103409 (or 103395 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

The square root of 8011921152 is about 89509.3355578065. The cubic root of 8011921152 is about 2000.9929362905.

The spelling of 8011921152 in words is "eight billion, eleven million, nine hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1212 1616 2424 3232 4848 6464 9696 12928 19392 25856 38784 77568 103289 206578 309867 413156 619734 826312 1239468 1652624 2478936 3305248 4957872 6610496 9915744 10432189 13220992 19831488 20864378 26441984 31296567 39662976 41728756 62593134 79325952 83457512 125186268 166915024 250372536 333830048 500745072 667660096 1001490144 1335320192 2002980288 2670640384 4005960576 8011921152