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2032132332032 = 29113197119993
BaseRepresentation
bin11101100100100100100…
…001101001101000000000
321012021021210111102222122
4131210210201221220000
5231243301334111112
64153314304223412
7266550063551255
oct35444441515000
97167253442878
102032132332032
117139057a64a0
12289a1100ab68
131198246278aa
14704da19d42c
1537cd8e08872
hex1d924869a00

2032132332032 has 160 divisors (see below), whose sum is σ = 4619473334784. Its totient is φ = 884677017600.

The previous prime is 2032132332031. The next prime is 2032132332047. The reversal of 2032132332032 is 2302332312302.

It is a junction number, because it is equal to n+sod(n) for n = 2032132331992 and 2032132332010.

It is not an unprimeable number, because it can be changed into a prime (2032132332031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16875428 + ... + 16995420.

Almost surely, 22032132332032 is an apocalyptic number.

2032132332032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032132332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309736667392).

2032132332032 is an abundant number, since it is smaller than the sum of its proper divisors (2587341002752).

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

2032132332032 is a wasteful number, since it uses less digits than its factorization.

2032132332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120150 (or 120134 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 2032132332032 its reverse (2302332312302), we get a palindrome (4334464644334).

The spelling of 2032132332032 in words is "two trillion, thirty-two billion, one hundred thirty-two million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 97 124 128 176 194 248 256 341 352 388 496 512 682 704 776 992 1067 1364 1408 1552 1984 2134 2728 2816 3007 3104 3968 4268 5456 5632 6014 6208 7936 8536 10912 12028 12416 15872 17072 21824 24056 24832 33077 34144 43648 48112 49664 66154 68288 87296 96224 119993 132308 136576 174592 192448 239986 264616 273152 384896 479972 529232 546304 769792 959944 1058464 1319923 1539584 1919888 2116928 2639846 3719783 3839776 4233856 5279692 7439566 7679552 8467712 10559384 11639321 14879132 15359104 16935424 21118768 23278642 29758264 30718208 40917613 42237536 46557284 59516528 61436416 81835226 84475072 93114568 119033056 128032531 163670452 168950144 186229136 238066112 256065062 327340904 337900288 360818951 372458272 476132224 512130124 654681808 675800576 721637902 744916544 952264448 1024260248 1309363616 1443275804 1489833088 1904528896 2048520496 2618727232 2886551608 2979666176 3969008461 4097040992 5237454464 5773103216 5959332352 7938016922 8194081984 10474908928 11546206432 15876033844 16388163968 20949817856 23092412864 31752067688 32776327936 46184825728 63504135376 65552655872 92369651456 127008270752 184739302912 254016541504 508033083008 1016066166016 2032132332032