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2130794156176 = 247237214092
BaseRepresentation
bin11111000000011101001…
…110101001000010010000
321112200221201010102001121
4133000131032221002100
5234402331300444201
64310512345412024
7306642031326400
oct37003516510220
97480851112047
102130794156176
1175173482a234
122a4b6679a014
13125c18b23baa
14751b9602800
153a6609119a1
hex1f01d3a9090

2130794156176 has 135 divisors (see below), whose sum is σ = 4939249576779. Its totient is φ = 887885881344.

The previous prime is 2130794156173. The next prime is 2130794156203. The reversal of 2130794156176 is 6716514970312.

The square root of 2130794156176 is 1459724.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 98960576400 + 2031833579776 = 314580^2 + 1425424^2 .

It is not an unprimeable number, because it can be changed into a prime (2130794156173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1512273360 + ... + 1512274768.

Almost surely, 22130794156176 is an apocalyptic number.

2130794156176 is the 1459724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130794156176

2130794156176 is an abundant number, since it is smaller than the sum of its proper divisors (2808455420603).

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

2130794156176 is an frugal number, since it uses more digits than its factorization.

2130794156176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 2130794156176 in words is "two trillion, one hundred thirty billion, seven hundred ninety-four million, one hundred fifty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1369 1409 1813 2072 2738 2818 3626 4144 5476 5636 7252 9583 9863 10952 11272 14504 19166 19726 21904 22544 29008 38332 39452 52133 67081 69041 76664 78904 104266 134162 138082 153328 157808 208532 268324 276164 364931 417064 536648 552328 729862 834128 1073296 1104656 1459724 1928921 1985281 2554517 2919448 3857842 3970562 5109034 5838896 7715684 7941124 10218068 13502447 13896967 15431368 15882248 20436136 27004894 27793934 30862736 31764496 40872272 54009788 55587868 73455397 94517129 97278769 108019576 111175736 146910794 189034258 194557538 216039152 222351472 293821588 378068516 389115076 514187779 587643176 756137032 778230152 1028375558 1175286352 1512274064 1556460304 2056751116 2717849689 3599314453 4113502232 5435699378 7198628906 8227004464 10871398756 14397257812 19024947823 21742797512 28794515624 38049895646 43485595024 57589031248 76099791292 133174634761 152199582584 266349269522 304399165168 532698539044 1065397078088 2130794156176