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2987202912 = 253113509541
BaseRepresentation
bin1011001000001101…
…0001100101100000
321201011221122000220
42302003101211200
522104210443122
61212230043040
7134011543251
oct26203214540
97634848026
102987202912
1112a321a841
126b44a9480
13387b537b5
14204a34b28
151273b725c
hexb20d1960

2987202912 has 96 divisors (see below), whose sum is σ = 7940993760. Its totient is φ = 983162880.

The previous prime is 2987202899. The next prime is 2987202917. The reversal of 2987202912 is 2192027892.

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

It is a super-2 number, since 2×29872029122 = 17846762474922559488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2987202917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5521362 + ... + 5521902.

It is an arithmetic number, because the mean of its divisors is an integer number (82718685).

Almost surely, 22987202912 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 2987202912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970496880).

2987202912 is an abundant number, since it is smaller than the sum of its proper divisors (4953790848).

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

2987202912 is a wasteful number, since it uses less digits than its factorization.

2987202912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2987202912 is about 54655.3100073543. The cubic root of 2987202912 is about 1440.1959147023.

The spelling of 2987202912 in words is "two billion, nine hundred eighty-seven million, two hundred two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 509 541 678 904 1018 1082 1356 1527 1623 1808 2036 2164 2712 3054 3246 3616 4072 4328 5424 6108 6492 8144 8656 10848 12216 12984 16288 17312 24432 25968 48864 51936 57517 61133 115034 122266 172551 183399 230068 244532 275369 345102 366798 460136 489064 550738 690204 733596 826107 920272 978128 1101476 1380408 1467192 1652214 1840544 1956256 2202952 2760816 2934384 3304428 4405904 5521632 5868768 6608856 8811808 13217712 26435424 31116697 62233394 93350091 124466788 186700182 248933576 373400364 497867152 746800728 995734304 1493601456 2987202912