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1025247114528 = 253713117358873
BaseRepresentation
bin11101110101101010111…
…11010111010100100000
310122000100020022201200220
432322311133113110200
5113244201230131103
62102554135443040
7134033402453640
oct16726537272440
93560306281626
101025247114528
113658942a47aa
12146849226480
13758aca74270
143789d558520
151ba07e9cc53
hexeeb57d7520

1025247114528 has 96 divisors (see below), whose sum is σ = 3312336859776. Its totient is φ = 270394841088.

The previous prime is 1025247114511. The next prime is 1025247114547. The reversal of 1025247114528 is 8254117425201.

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

It is a super-2 number, since 2×10252471145282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1025247114528.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58670701 + ... + 58688172.

It is an arithmetic number, because the mean of its divisors is an integer number (34503508956).

Almost surely, 21025247114528 is an apocalyptic number.

It is an amenable number.

1025247114528 is an abundant number, since it is smaller than the sum of its proper divisors (2287089745248).

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

1025247114528 is a wasteful number, since it uses less digits than its factorization.

1025247114528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117358906 (or 117358898 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 1025247114528 in words is "one trillion, twenty-five billion, two hundred forty-seven million, one hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 117358873 234717746 352076619 469435492 704153238 821512111 938870984 1408306476 1525665349 1643024222 1877741968 2464536333 2816612952 3051330698 3286048444 3755483936 4576996047 4929072666 5633225904 6102661396 6572096888 9153992094 9858145332 10679657443 11266451808 12205322792 13144193776 18307984188 19716290664 21359314886 24410645584 26288387552 32038972329 36615968376 39432581328 42718629772 48821291168 64077944658 73231936752 78865162656 85437259544 128155889316 146463873504 170874519088 256311778632 341749038176 512623557264 1025247114528