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32112071136 = 253343220101
BaseRepresentation
bin11101111010000001…
…110101000111100000
310001212221112020022000
4131322001311013200
51011231142234021
622430241044000
72214524046435
oct357201650740
9101787466260
1032112071136
1112689477372
126282326600
133049b1b432
1417a8b57b8c
15c7e277b26
hex77a0751e0

32112071136 has 144 divisors (see below), whose sum is σ = 95893776720. Its totient is φ = 10454572800.

The previous prime is 32112071129. The next prime is 32112071141. The reversal of 32112071136 is 63117021123.

32112071136 is a `hidden beast` number, since 321 + 1 + 207 + 1 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×321120711362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587486 + ... + 1607586.

It is an arithmetic number, because the mean of its divisors is an integer number (665929005).

Almost surely, 232112071136 is an apocalyptic number.

32112071136 is a gapful number since it is divisible by the number (36) 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 32112071136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47946888360).

32112071136 is an abundant number, since it is smaller than the sum of its proper divisors (63781705584).

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

32112071136 is a wasteful number, since it uses less digits than its factorization.

32112071136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20206 (or 20149 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 32112071136 its reverse (63117021123), we get a palindrome (95229092259).

The spelling of 32112071136 in words is "thirty-two billion, one hundred twelve million, seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 1849 2064 2322 3096 3698 4128 4644 5547 6192 7396 9288 11094 12384 14792 16641 18576 20101 22188 29584 33282 37152 40202 44376 49923 59168 60303 66564 80404 88752 99846 120606 133128 160808 177504 180909 199692 241212 266256 321616 361818 399384 482424 532512 542727 643232 723636 798768 864343 964848 1085454 1447272 1597536 1728686 1929696 2170908 2593029 2894544 3457372 4341816 5186058 5789088 6914744 7779087 8683632 10372116 13829488 15558174 17367264 20744232 23337261 27658976 31116348 37166749 41488464 46674522 62232696 74333498 82976928 93349044 111500247 124465392 148666996 186698088 223000494 248930784 297333992 334500741 373396176 446000988 594667984 669001482 746792352 892001976 1003502223 1189335968 1338002964 1784003952 2007004446 2676005928 3568007904 4014008892 5352011856 8028017784 10704023712 16056035568 32112071136