Search a number
-
+
125241948125 = 54735373151
BaseRepresentation
bin111010010100100000…
…0000111011111011101
3102222021022211011111022
41310221000013133131
54022443414320000
6133311345333525
712022416665000
oct1645100073735
9388238734438
10125241948125
11491298a6358
12203333372a5
13ba6c1c9718
1460c15c9537
1533d02a0585
hex1d290077dd

125241948125 has 160 divisors (see below), whose sum is σ = 189749260800. Its totient is φ = 82555200000.

The previous prime is 125241948119. The next prime is 125241948127. The reversal of 125241948125 is 521849142521.

It is not a de Polignac number, because 125241948125 - 24 = 125241948109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125241948127) 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 159 ways as a sum of consecutive naturals, for example, 829416800 + ... + 829416950.

It is an arithmetic number, because the mean of its divisors is an integer number (1185932880).

Almost surely, 2125241948125 is an apocalyptic number.

It is an amenable number.

125241948125 is a deficient number, since it is larger than the sum of its proper divisors (64507312675).

125241948125 is an frugal number, since it uses more digits than its factorization.

125241948125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 289 counting only the distinct ones).

The product of its digits is 230400, while the sum is 44.

The spelling of 125241948125 in words is "one hundred twenty-five billion, two hundred forty-one million, nine hundred forty-eight thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 49 53 73 125 151 175 245 265 343 365 371 511 625 755 875 1057 1225 1325 1715 1825 1855 2555 2597 3577 3775 3869 4375 5285 6125 6625 7399 8003 8575 9125 9275 11023 12775 12985 17885 18179 18875 19345 25039 26425 27083 30625 33125 36995 40015 42875 45625 46375 51793 55115 56021 63875 64925 77161 89425 90895 94375 96725 125195 132125 135415 184975 189581 200075 214375 231875 258965 275575 280105 319375 324625 385805 392147 447125 454475 483625 540127 584219 625975 660625 677075 924875 947905 1000375 1294825 1327067 1377875 1400525 1623125 1929025 1960735 2235625 2272375 2418125 2700635 2745029 2921095 3129875 3385375 3780889 4089533 4624375 4739525 5001875 6474125 6635335 6889375 7002625 9645125 9803675 11361875 13503175 13725145 14605475 15649375 16926875 18904445 20447665 23697625 28626731 32370625 33176675 35013125 48225625 49018375 67515875 68625725 73027375 94522225 102238325 118488125 143133655 165883375 200387117 245091875 337579375 343128625 365136875 472611125 511191625 715668275 829416875 1001935585 1715643125 2363055625 2555958125 3578341375 5009677925 17891706875 25048389625 125241948125