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10206425233152 = 2834492208007
BaseRepresentation
bin1001010010000101111001…
…0110011011011100000000
31100010201120022201121020000
42110201132112123130000
52314210224324430102
633412433402120000
72102250506024421
oct224413626333400
940121508647200
1010206425233152
11328557aa65a65
12118a0a71b0000
1359060067b0b5
14273dca6b1648
1512a75c4ea01c
hex9485e59b700

10206425233152 has 90 divisors (see below), whose sum is σ = 30433713342648. Its totient is φ = 3402141737472.

The previous prime is 10206425233099. The next prime is 10206425233153. The reversal of 10206425233152 is 25133252460201.

10206425233152 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 642 + 5 + 2 + 3 + 3 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×102064252331522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206425233153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 246083268 + ... + 246124739.

Almost surely, 210206425233152 is an apocalyptic number.

10206425233152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10206425233152 is an abundant number, since it is smaller than the sum of its proper divisors (20227288109496).

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

10206425233152 is an frugal number, since it uses more digits than its factorization.

10206425233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492208035 (or 492208012 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10206425233152 its reverse (25133252460201), we get a palindrome (35339677693353).

The spelling of 10206425233152 in words is "ten trillion, two hundred six billion, four hundred twenty-five million, two hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 492208007 984416014 1476624021 1968832028 2953248042 3937664056 4429872063 5906496084 7875328112 8859744126 11812992168 13289616189 15750656224 17719488252 23625984336 26579232378 31501312448 35438976504 39868848567 47251968672 53158464756 63002624896 70877953008 79737697134 94503937344 106316929512 126005249792 141755906016 159475394268 189007874688 212633859024 283511812032 318950788536 378015749376 425267718048 567023624064 637901577072 850535436096 1134047248128 1275803154144 1701070872192 2551606308288 3402141744384 5103212616576 10206425233152