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2132332032 = 29317127643
BaseRepresentation
bin111111100011000…
…1100111000000000
312111121100200122110
41333012030320000
513331334111112
6551331135320
7103561344315
oct17706147000
95447320573
102132332032
119a4711686
124b6144540
1327c9cb43c
141632a4d0c
15c730213c
hex7f18ce00

2132332032 has 160 divisors (see below), whose sum is σ = 6071611392. Its totient is φ = 662667264.

The previous prime is 2132331973. The next prime is 2132332051. The reversal of 2132332032 is 2302332312.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315903 + ... + 3316545.

Almost surely, 22132332032 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 2132332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035805696).

2132332032 is an abundant number, since it is smaller than the sum of its proper divisors (3939279360).

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

2132332032 is a wasteful number, since it uses less digits than its factorization.

2132332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2132332032 is about 46177.1808580818. The cubic root of 2132332032 is about 1287.1177425787.

Adding to 2132332032 its reverse (2302332312), we get a palindrome (4434664344).

The spelling of 2132332032 in words is "two billion, one hundred thirty-two million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 127 128 136 192 204 254 256 272 381 384 408 508 512 544 643 762 768 816 1016 1088 1286 1524 1536 1632 1929 2032 2159 2176 2572 3048 3264 3858 4064 4318 4352 5144 6096 6477 6528 7716 8128 8636 8704 10288 10931 12192 12954 13056 15432 16256 17272 20576 21862 24384 25908 26112 30864 32512 32793 34544 41152 43724 48768 51816 61728 65024 65586 69088 81661 82304 87448 97536 103632 123456 131172 138176 163322 164608 174896 195072 207264 244983 246912 262344 276352 326644 329216 349792 414528 489966 493824 524688 552704 653288 699584 829056 979932 987648 1049376 1105408 1306576 1388237 1399168 1658112 1959864 2098752 2613152 2776474 2798336 3316224 3919728 4164711 4197504 5226304 5552948 5596672 7839456 8329422 8395008 10452608 11105896 15678912 16658844 16790016 20905216 22211792 31357824 33317688 41810432 44423584 62715648 66635376 88847168 125431296 133270752 177694336 266541504 355388672 533083008 710777344 1066166016 2132332032