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12525504505440 = 253544958117597
BaseRepresentation
bin1011011001000101001000…
…1111110010011001100000
31122100102111221111221012120
42312101102033302121200
53120204213123133230
642350045355224240
72431636451423523
oct266212217623140
948312457457176
1012525504505440
113a9a044832773
1214a363a148080
136cb1c47458a4
14314348194bba
1516ac3cb7e310
hexb64523f2660

12525504505440 has 96 divisors (see below), whose sum is σ = 39543213679200. Its totient is φ = 3332695425024.

The previous prime is 12525504505433. The next prime is 12525504505457. The reversal of 12525504505440 is 4450540552521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12525504505392 and 12525504505401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28843279 + ... + 29274318.

It is an arithmetic number, because the mean of its divisors is an integer number (411908475825).

Almost surely, 212525504505440 is an apocalyptic number.

12525504505440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12525504505440 is an abundant number, since it is smaller than the sum of its proper divisors (27017709173760).

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

12525504505440 is a wasteful number, since it uses less digits than its factorization.

12525504505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58118064 (or 58118056 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 42.

The spelling of 12525504505440 in words is "twelve trillion, five hundred twenty-five billion, five hundred four million, five hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 449 480 898 1347 1796 2245 2694 3592 4490 5388 6735 7184 8980 10776 13470 14368 17960 21552 26940 35920 43104 53880 71840 107760 215520 58117597 116235194 174352791 232470388 290587985 348705582 464940776 581175970 697411164 871763955 929881552 1162351940 1394822328 1743527910 1859763104 2324703880 2789644656 3487055820 4649407760 5579289312 6974111640 9298815520 13948223280 26094801053 27896446560 52189602106 78284403159 104379204212 130474005265 156568806318 208758408424 260948010530 313137612636 391422015795 417516816848 521896021060 626275225272 782844031590 835033633696 1043792042120 1252550450544 1565688063180 2087584084240 2505100901088 3131376126360 4175168168480 6262752252720 12525504505440