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125953704021 = 317471092332069
BaseRepresentation
bin111010101001101101…
…1010000000001010101
3110001002221010010000210
41311103123100001111
54030423122012041
6133510133000033
712046151551035
oct1652333200125
9401087103023
10125953704021
1149464645072
12204b1783019
13bb537c3962
14614bd438c5
1534229e6016
hex1d536d0055

125953704021 has 64 divisors (see below), whose sum is σ = 184141900800. Its totient is φ = 76272869376.

The previous prime is 125953703989. The next prime is 125953704053. The reversal of 125953704021 is 120407359521.

It is an interprime number because it is at equal distance from previous prime (125953703989) and next prime (125953704053).

It is not a de Polignac number, because 125953704021 - 25 = 125953703989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125953704221) 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 63 ways as a sum of consecutive naturals, for example, 60875575 + ... + 60877643.

It is an arithmetic number, because the mean of its divisors is an integer number (2877217200).

Almost surely, 2125953704021 is an apocalyptic number.

It is an amenable number.

125953704021 is a deficient number, since it is larger than the sum of its proper divisors (58188196779).

125953704021 is a wasteful number, since it uses less digits than its factorization.

125953704021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478.

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 125953704021 in words is "one hundred twenty-five billion, nine hundred fifty-three million, seven hundred four thousand, twenty-one".

Divisors: 1 3 17 47 51 109 141 233 327 699 799 1853 2069 2397 3961 5123 5559 6207 10951 11883 15369 25397 32853 35173 76191 87091 97243 105519 186167 225521 261273 291729 431749 482077 558501 676563 1193659 1295247 1446231 1653131 3580977 3833857 4959393 8195309 10599487 11501571 20292203 22657619 24585927 31798461 52546393 60876609 67972857 157639179 180191279 385179523 540573837 893288681 1155538569 2469680471 2679866043 7409041413 41984568007 125953704021