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2131937984512 = 21971734171
BaseRepresentation
bin11111000001100001011…
…010000000000000000000
321112210220102102220120001
4133001201122000000000
5234412202111001022
64311222045525344
7310012260604030
oct37014132000000
97483812386501
102131937984512
1175217145a406
122a5225873854
1312606baabaab
14752874ad8c0
153a6cb053b27
hex1f061680000

2131937984512 has 160 divisors (see below), whose sum is σ = 5159794305600. Its totient is φ = 859916206080.

The previous prime is 2131937984489. The next prime is 2131937984551. The reversal of 2131937984512 is 2154897391312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62373187 + ... + 62407357.

It is an arithmetic number, because the mean of its divisors is an integer number (32248714410).

Almost surely, 22131937984512 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 2131937984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579897152800).

2131937984512 is an abundant number, since it is smaller than the sum of its proper divisors (3027856321088).

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

2131937984512 is an frugal number, since it uses more digits than its factorization.

2131937984512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34233 (or 34197 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The spelling of 2131937984512 in words is "two trillion, one hundred thirty-one billion, nine hundred thirty-seven million, nine hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1024 1088 1792 1904 2048 2176 3584 3808 4096 4352 7168 7616 8192 8704 14336 15232 16384 17408 28672 30464 32768 34171 34816 57344 60928 65536 68342 69632 114688 121856 131072 136684 139264 229376 239197 243712 262144 273368 278528 458752 478394 487424 524288 546736 557056 580907 917504 956788 974848 1093472 1114112 1161814 1835008 1913576 1949696 2186944 2228224 2323628 3670016 3827152 3899392 4066349 4373888 4456448 4647256 7654304 7798784 8132698 8747776 8912896 9294512 15308608 15597568 16265396 17495552 18589024 30617216 31195136 32530792 34991104 37178048 61234432 62390272 65061584 69982208 74356096 122468864 130123168 139964416 148712192 244937728 260246336 279928832 297424384 489875456 520492672 559857664 594848768 979750912 1040985344 1119715328 1189697536 1959501824 2081970688 2239430656 2379395072 3919003648 4163941376 4478861312 4758790144 7838007296 8327882752 8957722624 9517580288 15676014592 16655765504 17915445248 19035160576 31352029184 33311531008 38070321152 62704058368 66623062016 76140642304 125408116736 133246124032 152281284608 266492248064 304562569216 532984496128 1065968992256 2131937984512