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1983230025984 = 2832293392
BaseRepresentation
bin11100110111000001101…
…110001010000100000000
321000121001201011220101100
4130313001232022010000
5224443123341312414
64115025554134400
7263166201035364
oct34670156120400
97017051156340
101983230025984
116a50a0713129
12280443881400
1311503010c01c
146bdbb56b2a4
15368c5ae1609
hex1cdc1b8a100

1983230025984 has 81 divisors (see below), whose sum is σ = 5718335991823. Its totient is φ = 661054142976.

The previous prime is 1983230025947. The next prime is 1983230025989. The reversal of 1983230025984 is 4895200323891.

The square root of 1983230025984 is 1408272.

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

1983230025984 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 2 + 300 + 259 + 84 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1983230025984.

It is not an unprimeable number, because it can be changed into a prime (1983230025989) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67582387 + ... + 67611725.

Almost surely, 21983230025984 is an apocalyptic number.

1983230025984 is the 1408272-nd square number.

It is an amenable number.

1983230025984 is an abundant number, since it is smaller than the sum of its proper divisors (3735105965839).

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

1983230025984 is an frugal number, since it uses more digits than its factorization.

1983230025984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58700 (or 29344 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1983230025984 in words is "one trillion, nine hundred eighty-three billion, two hundred thirty million, twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 29339 58678 88017 117356 176034 234712 264051 352068 469424 528102 704136 938848 1056204 1408272 1877696 2112408 2816544 3755392 4224816 5633088 7510784 8449632 11266176 16899264 22532352 33798528 67597056 860776921 1721553842 2582330763 3443107684 5164661526 6886215368 7746992289 10329323052 13772430736 15493984578 20658646104 27544861472 30987969156 41317292208 55089722944 61975938312 82634584416 110179445888 123951876624 165269168832 220358891776 247903753248 330538337664 495807506496 661076675328 991615012992 1983230025984