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2573172520440 = 23351031277163027
BaseRepresentation
bin100101011100011101000…
…010001011010111111000
3100002222210211001201222020
4211130131002023113320
5314124324131123230
65250033225154440
7353622420353664
oct45343502132770
910088724051866
102573172520440
11902304894975
1235684632ba20
13158859196602
148c783b9d8a4
1546e029e2810
hex2571d08b5f8

2573172520440 has 128 divisors (see below), whose sum is σ = 7800615912960. Its totient is φ = 678981118464.

The previous prime is 2573172520433. The next prime is 2573172520447. The reversal of 2573172520440 is 440252713752.

2573172520440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2573172520433) and next prime (2573172520447).

It is a junction number, because it is equal to n+sod(n) for n = 2573172520392 and 2573172520401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2573172520447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15702207 + ... + 15865233.

It is an arithmetic number, because the mean of its divisors is an integer number (60942311820).

Almost surely, 22573172520440 is an apocalyptic number.

2573172520440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2573172520440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900307956480).

2573172520440 is an abundant number, since it is smaller than the sum of its proper divisors (5227443392520).

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

2573172520440 is a wasteful number, since it uses less digits than its factorization.

2573172520440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164421 (or 164417 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 2573172520440 in words is "two trillion, five hundred seventy-three billion, one hundred seventy-two million, five hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1277 1545 2060 2472 2554 3090 3831 4120 5108 6180 6385 7662 10216 12360 12770 15324 19155 25540 30648 38310 51080 76620 131531 153240 163027 263062 326054 394593 489081 526124 652108 657655 789186 815135 978162 1052248 1304216 1315310 1578372 1630270 1956324 1972965 2445405 2630620 3156744 3260540 3912648 3945930 4890810 5261240 6521080 7891860 9781620 15783720 16791781 19563240 33583562 50375343 67167124 83958905 100750686 134334248 167917810 201501372 208185479 251876715 335835620 403002744 416370958 503753430 624556437 671671240 832741916 1007506860 1040927395 1249112874 1665483832 2015013720 2081854790 2498225748 3122782185 4163709580 4996451496 6245564370 8327419160 12491128740 21443104337 24982257480 42886208674 64329313011 85772417348 107215521685 128658626022 171544834696 214431043370 257317252044 321646565055 428862086740 514634504088 643293130110 857724173480 1286586260220 2573172520440