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1086297235248 = 243231063925649
BaseRepresentation
bin11111100111011000101…
…11000101111100110000
310211211220220220012021010
433303230113011330300
5120244214043011443
62151012115430520
7141324313102041
oct17635427057460
93754826805233
101086297235248
11389772519025
121566468b5440
137b58bc39954
143a8116848c8
151d3cc9d2733
hexfcec5c5f30

1086297235248 has 80 divisors (see below), whose sum is σ = 2931037401600. Its totient is φ = 346029437952.

The previous prime is 1086297235211. The next prime is 1086297235267. The reversal of 1086297235248 is 8425327926801.

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, 710728 + ... + 1636376.

It is an arithmetic number, because the mean of its divisors is an integer number (36637967520).

It is a 1-persistent number, because it is pandigital, but 2⋅1086297235248 = 2172594470496 is not.

Almost surely, 21086297235248 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 1086297235248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465518700800).

1086297235248 is an abundant number, since it is smaller than the sum of its proper divisors (1844740166352).

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

1086297235248 is a wasteful number, since it uses less digits than its factorization.

1086297235248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926746 (or 926740 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 1086297235248 in words is "one trillion, eighty-six billion, two hundred ninety-seven million, two hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1063 1104 2126 3189 4252 6378 8504 12756 17008 24449 25512 48898 51024 73347 97796 146694 195592 293388 391184 586776 925649 1173552 1851298 2776947 3702596 5553894 7405192 11107788 14810384 21289927 22215576 42579854 44431152 63869781 85159708 127739562 170319416 255479124 340638832 510958248 983964887 1021916496 1967929774 2951894661 3935859548 5903789322 7871719096 11807578644 15743438192 22631192401 23615157288 45262384802 47230314576 67893577203 90524769604 135787154406 181049539208 271574308812 362099078416 543148617624 1086297235248