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2125659025296 = 2434404992
BaseRepresentation
bin11110111011101011001…
…001101010111110010000
321112012200211110201210000
4132323223021222332100
5234311322202302141
64304303030010000
7306400545411342
oct36735311527620
97465624421700
102125659025296
1174a53a116414
122a3b72aa6900
131255aaca1301
1474c4d607292
153a45ebb65b6
hex1eeeb26af90

2125659025296 has 75 divisors (see below), whose sum is σ = 6152425838251. Its totient is φ = 708535512864.

The previous prime is 2125659025289. The next prime is 2125659025327. The reversal of 2125659025296 is 6925209565212.

It is a happy number.

The square root of 2125659025296 is 1457964.

It is a perfect power (a square), and thus also a powerful number.

2125659025296 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 6 + 590 + 25 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 52466455 + ... + 52506953.

Almost surely, 22125659025296 is an apocalyptic number.

2125659025296 is the 1457964-th square number.

It is an amenable number.

2125659025296 is an abundant number, since it is smaller than the sum of its proper divisors (4026766812955).

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

2125659025296 is an frugal number, since it uses more digits than its factorization.

2125659025296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81018 (or 40504 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 2125659025296 in words is "two trillion, one hundred twenty-five billion, six hundred fifty-nine million, twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 40499 80998 121497 161996 242994 323992 364491 485988 647984 728982 971976 1093473 1457964 1943952 2186946 2915928 3280419 4373892 5831856 6560838 8747784 13121676 17495568 26243352 52486704 1640169001 3280338002 4920507003 6560676004 9841014006 13121352008 14761521009 19682028012 26242704016 29523042018 39364056024 44284563027 59046084036 78728112048 88569126054 118092168072 132853689081 177138252108 236184336144 265707378162 354276504216 531414756324 708553008432 1062829512648 2125659025296