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125993819217 = 3731943732053
BaseRepresentation
bin111010101010111010…
…0010001110001010001
3110001012201121011201210
41311111310101301101
54031013404203332
6133514124450333
712050146536000
oct1652564216121
9401181534653
10125993819217
1149485254222
12205030a99a9
13bb5bbcaa66
1461533c6c37
1534262bbecc
hex1d55d11c51

125993819217 has 128 divisors (see below), whose sum is σ = 214010368000. Its totient is φ = 65676344832.

The previous prime is 125993819183. The next prime is 125993819249. The reversal of 125993819217 is 712918399521.

It is not a de Polignac number, because 125993819217 - 26 = 125993819153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125993819117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61369563 + ... + 61371615.

It is an arithmetic number, because the mean of its divisors is an integer number (1671956000).

Almost surely, 2125993819217 is an apocalyptic number.

It is an amenable number.

125993819217 is a deficient number, since it is larger than the sum of its proper divisors (88016548783).

125993819217 is a wasteful number, since it uses less digits than its factorization.

125993819217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2198 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 57.

The spelling of 125993819217 in words is "one hundred twenty-five billion, nine hundred ninety-three million, eight hundred nineteen thousand, two hundred seventeen".

Divisors: 1 3 7 19 21 43 49 57 73 129 133 147 219 301 343 399 511 817 903 931 1029 1387 1533 2053 2107 2451 2793 3139 3577 4161 5719 6159 6321 6517 9417 9709 10731 14371 14749 17157 19551 21973 25039 29127 39007 40033 43113 44247 59641 65919 67963 75117 88279 100597 117021 120099 149869 153811 178923 203889 264837 273049 280231 301791 417487 449607 461433 475741 617953 704179 819147 840693 1049083 1076677 1252461 1427223 1677301 1853859 1911343 2112537 2847511 2922409 3147249 3230031 4325671 5031903 5734029 6444367 7343581 8542533 8767227 11741107 12977013 13379401 19333101 19932577 20456863 22030743 30279697 35223321 40138203 45110569 51405067 59797731 61370589 82187749 90839091 122442973 135331707 139528039 154215201 246563247 315773983 367328919 418584117 575314243 857100811 947321949 976696273 1725942729 2210417881 2571302433 2930088819 5999705677 6631253643 17999117031 41997939739 125993819217