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1245542252032 = 29131711539547
BaseRepresentation
bin10010001000000000000…
…110100111111000000000
311102001221222111012222201
4102020000012213320000
5130401332304031112
62352105541042544
7155662461313021
oct22100006477000
94361858435881
101245542252032
11440260148111
121814896b6454
13905b9955830
14443dabcac48
15225ed03b257
hex122001a7e00

1245542252032 has 160 divisors (see below), whose sum is σ = 2840497384032. Its totient is φ = 540524150784.

The previous prime is 1245542252027. The next prime is 1245542252051. The reversal of 1245542252032 is 2302522455421.

It is a junction number, because it is equal to n+sod(n) for n = 1245542251982 and 1245542252000.

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, 130459483 + ... + 130469029.

Almost surely, 21245542252032 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 1245542252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420248692016).

1245542252032 is an abundant number, since it is smaller than the sum of its proper divisors (1594955132000).

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

1245542252032 is a wasteful number, since it uses less digits than its factorization.

1245542252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 1245542252032 in words is "one trillion, two hundred forty-five billion, five hundred forty-two million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1088 1153 1664 1768 2176 2306 3328 3536 4352 4612 6656 7072 8704 9224 9547 14144 14989 18448 19094 19601 28288 29978 36896 38188 39202 56576 59956 73792 76376 78404 113152 119912 124111 147584 152752 156808 162299 239824 248222 254813 295168 305504 313616 324598 479648 496444 509626 590336 611008 627232 649196 959296 992888 1019252 1222016 1254464 1298392 1918592 1985776 2038504 2109887 2444032 2508928 2596784 3837184 3971552 4077008 4219774 4888064 5017856 5193568 7674368 7943104 8154016 8439548 10035712 10387136 11007691 15886208 16308032 16879096 20774272 22015382 31772416 32616064 33758192 41548544 44030764 63544832 65232128 67516384 83097088 88061528 130464256 135032768 143099983 176123056 187130747 270065536 286199966 352246112 374261494 540131072 572399932 704492224 748522988 1080262144 1144799864 1408984448 1497045976 2289599728 2432699711 2817968896 2994091952 4579199456 4865399422 5635937792 5988183904 9158398912 9730798844 11976367808 18316797824 19461597688 23952735616 36633595648 38923195376 47905471232 73267191296 77846390752 95810942464 155692781504 311385563008 622771126016 1245542252032