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2525058968436 = 223219107179192743
BaseRepresentation
bin100100101111101001001…
…111100010101101110100
322221101121200221001111200
4210233221033202231310
5312332310043442221
65211555052532500
7350300213045424
oct44575117425564
98841550831450
102525058968436
11893964a61154
12349459181130
1315415c1c3c04
148a2dbc0a484
1545a38a80426
hex24be93e2b74

2525058968436 has 144 divisors (see below), whose sum is σ = 6819436915200. Its totient is φ = 785517708096.

The previous prime is 2525058968407. The next prime is 2525058968437. The reversal of 2525058968436 is 6348698505252.

2525058968436 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 0 + 589 + 6 + 8 + 43 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525058968437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13004281 + ... + 13197023.

It is an arithmetic number, because the mean of its divisors is an integer number (47357200800).

Almost surely, 22525058968436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525058968436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409718457600).

2525058968436 is an abundant number, since it is smaller than the sum of its proper divisors (4294377946764).

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

2525058968436 is a wasteful number, since it uses less digits than its factorization.

2525058968436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193058 (or 193053 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 2525058968436 in words is "two trillion, five hundred twenty-five billion, fifty-eight million, nine hundred sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 107 114 171 179 214 228 321 342 358 428 537 642 684 716 963 1074 1284 1611 1926 2033 2148 3222 3401 3852 4066 6099 6444 6802 8132 10203 12198 13604 18297 19153 20406 24396 30609 36594 38306 40812 57459 61218 73188 76612 114918 122436 172377 192743 229836 344754 363907 385486 578229 689508 727814 770972 1091721 1156458 1455628 1734687 2183442 2312916 3275163 3469374 3662117 4366884 6550326 6938748 7324234 10986351 13100652 14648468 20623501 21972702 32959053 34500997 41247002 43945404 61870503 65918106 69001994 82494004 103502991 123741006 131836212 138003988 185611509 207005982 247482012 310508973 371223018 391846519 414011964 621017946 655518943 742446036 783693038 1175539557 1242035892 1311037886 1567386076 1966556829 2351079114 2622075772 3526618671 3691606679 3933113658 4702158228 5899670487 7053237342 7383213358 7866227316 11074820037 11799340974 14106474684 14766426716 22149640074 23598681948 33224460111 44299280148 66448920222 70140526901 132897840444 140281053802 210421580703 280562107604 420843161406 631264742109 841686322812 1262529484218 2525058968436