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10055332352 = 29132791471
BaseRepresentation
bin10010101110101100…
…00011001000000000
3221221202212210211202
421113112003020000
5131043131113402
64341440400332
7504115625522
oct112726031000
927852783752
1010055332352
11429aa7802a
121b476160a8
13c432c1a00
146b5647a12
153dcb8cb02
hex257583200

10055332352 has 120 divisors (see below), whose sum is σ = 22045731840. Its totient is φ = 4579061760.

The previous prime is 10055332337. The next prime is 10055332373. The reversal of 10055332352 is 25323355001.

It is a super-2 number, since 2×100553323522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6834977 + ... + 6836447.

It is an arithmetic number, because the mean of its divisors is an integer number (183714432).

Almost surely, 210055332352 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 10055332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022865920).

10055332352 is an abundant number, since it is smaller than the sum of its proper divisors (11990399488).

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

10055332352 is an equidigital number, since it uses as much as digits as its factorization.

10055332352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

Adding to 10055332352 its reverse (25323355001), we get a palindrome (35378687353).

The spelling of 10055332352 in words is "ten billion, fifty-five million, three hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 169 208 256 316 338 416 512 632 676 832 1027 1264 1352 1471 1664 2054 2528 2704 2942 3328 4108 5056 5408 5884 6656 8216 10112 10816 11768 13351 16432 19123 20224 21632 23536 26702 32864 38246 40448 43264 47072 53404 65728 76492 86528 94144 106808 116209 131456 152984 188288 213616 232418 248599 262912 305968 376576 427232 464836 497198 525824 611936 753152 854464 929672 994396 1223872 1510717 1708928 1859344 1988792 2447744 3021434 3417856 3718688 3977584 4895488 6042868 6835712 7437376 7955168 9790976 12085736 14874752 15910336 19639321 24171472 29749504 31820672 39278642 48342944 59499008 63641344 78557284 96685888 127282688 157114568 193371776 314229136 386743552 628458272 773487104 1256916544 2513833088 5027666176 10055332352