Search a number
-
+
12325170848445 = 3257136414695491
BaseRepresentation
bin1011001101011010110101…
…1011100010001010111101
31121122021102100101201100200
42303112231123202022331
53103413422214122240
642114034425514113
72411315136430560
oct263265533421275
947567370351320
1012325170848445
113a2209169a094
12147084a942939
136b5349273250
14308781a5c4d7
1516591529d930
hexb35ad6e22bd

12325170848445 has 96 divisors (see below), whose sum is σ = 26334723227904. Its totient is φ = 5192836300800.

The previous prime is 12325170848399. The next prime is 12325170848467. The reversal of 12325170848445 is 54484807152321.

12325170848445 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 51 + 70 + 8 + 484 + 45 = 666.

It is not a de Polignac number, because 12325170848445 - 210 = 12325170847421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12325170848391 and 12325170848400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277150 + ... + 4972640.

It is an arithmetic number, because the mean of its divisors is an integer number (274320033624).

Almost surely, 212325170848445 is an apocalyptic number.

12325170848445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12325170848445 is an abundant number, since it is smaller than the sum of its proper divisors (14009552379459).

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

12325170848445 is a wasteful number, since it uses less digits than its factorization.

12325170848445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696163 (or 4696160 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 12325170848445 in words is "twelve trillion, three hundred twenty-five billion, one hundred seventy million, eight hundred forty-eight thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 641 819 1365 1923 3205 4095 4487 5769 8333 9615 13461 22435 24999 28845 40383 41665 58331 67305 74997 124995 174993 201915 291655 374985 524979 874965 2624895 4695491 14086473 23477455 32868437 42259419 61041383 70432365 98605311 164342185 183124149 211297095 295815933 305206915 427289681 493026555 549372447 915620745 1281869043 1479079665 2136448405 2746862235 3009809731 3845607129 6409345215 9029429193 15049048655 19228035645 21068668117 27088287579 39127526503 45147145965 63206004351 105343340585 117382579509 135441437895 189618013053 195637632515 273892685521 316030021755 352147738527 586912897545 821678056563 948090065265 1369463427605 1760738692635 2465034169689 4108390282815 12325170848445