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127951516990 = 251131107350677
BaseRepresentation
bin111011100101010000…
…0010011010100111110
3110020021011100112012201
41313022200103110332
54044021042020430
6134440301022114
712146520643453
oct1671240232476
9406234315181
10127951516990
114a29a328570
122096a85493a
13c0b16836cb
14629b3cd82a
1534dd0c58ca
hex1dca81353e

127951516990 has 64 divisors (see below), whose sum is σ = 261779724288. Its totient is φ = 44605987200.

The previous prime is 127951516969. The next prime is 127951516997. The reversal of 127951516990 is 99615159721.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127951516997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189532 + ... + 540208.

It is an arithmetic number, because the mean of its divisors is an integer number (4090308192).

Almost surely, 2127951516990 is an apocalyptic number.

127951516990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127951516990 is an abundant number, since it is smaller than the sum of its proper divisors (133828207298).

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

127951516990 is a wasteful number, since it uses less digits than its factorization.

127951516990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350833.

The product of its (nonzero) digits is 1530900, while the sum is 55.

The spelling of 127951516990 in words is "one hundred twenty-seven billion, nine hundred fifty-one million, five hundred sixteen thousand, nine hundred ninety".

Divisors: 1 2 5 10 11 22 31 55 62 107 110 155 214 310 341 535 682 1070 1177 1705 2354 3317 3410 5885 6634 11770 16585 33170 36487 72974 182435 350677 364870 701354 1753385 3506770 3857447 7714894 10870987 19287235 21741974 37522439 38574470 54354935 75044878 108709870 119580857 187612195 239161714 375224390 412746829 597904285 825493658 1163195609 1195808570 2063734145 2326391218 4127468290 5815978045 11631956090 12795151699 25590303398 63975758495 127951516990