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20187278208 = 273264327253
BaseRepresentation
bin10010110011010000…
…010110101110000000
31221002212220222122200
4102303100112232000
5312320420400313
613135055233200
71313155014336
oct226320265600
957085828580
1020187278208
11861a2129a9
123ab4818800
131b99429546
14d97115b56
157d2410b73
hex4b3416b80

20187278208 has 96 divisors (see below), whose sum is σ = 58183474440. Its totient is φ = 6718381056.

The previous prime is 20187278203. The next prime is 20187278257. The reversal of 20187278208 is 80287278102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20187278203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727110 + ... + 754362.

Almost surely, 220187278208 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 20187278208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29091737220).

20187278208 is an abundant number, since it is smaller than the sum of its proper divisors (37996196232).

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

20187278208 is a wasteful number, since it uses less digits than its factorization.

20187278208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27916 (or 27901 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 20187278208 in words is "twenty billion, one hundred eighty-seven million, two hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 643 1152 1286 1929 2572 3858 5144 5787 7716 10288 11574 15432 20576 23148 27253 30864 41152 46296 54506 61728 81759 82304 92592 109012 123456 163518 185184 218024 245277 246912 327036 370368 436048 490554 654072 740736 872096 981108 1308144 1744192 1962216 2616288 3488384 3924432 5232576 7848864 10465152 15697728 17523679 31395456 35047358 52571037 70094716 105142074 140189432 157713111 210284148 280378864 315426222 420568296 560757728 630852444 841136592 1121515456 1261704888 1682273184 2243030912 2523409776 3364546368 5046819552 6729092736 10093639104 20187278208