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32261138136 = 2334172928571
BaseRepresentation
bin11110000010111010…
…011110011011011000
310002021100000121210000
4132002322132123120
51012032322410021
622453124053000
72221314102213
oct360272363330
9102240017700
1032261138136
1112755631637
126304234160
133071981766
1417c087c77a
15c8c3c0b26
hex782e9e6d8

32261138136 has 80 divisors (see below), whose sum is σ = 95676447240. Its totient is φ = 10121137920.

The previous prime is 32261138111. The next prime is 32261138167. The reversal of 32261138136 is 63183116223.

32261138136 is a `hidden beast` number, since 3 + 2 + 2 + 611 + 3 + 8 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 32261138136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1453270 + ... + 1475301.

Almost surely, 232261138136 is an apocalyptic number.

32261138136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32261138136 is an abundant number, since it is smaller than the sum of its proper divisors (63415309104).

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

32261138136 is a wasteful number, since it uses less digits than its factorization.

32261138136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928606 (or 2928593 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 32261138136 in words is "thirty-two billion, two hundred sixty-one million, one hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 2928571 5857142 8785713 11714284 17571426 23428568 26357139 35142852 49785707 52714278 70285704 79071417 99571414 105428556 149357121 158142834 199142828 210857112 237214251 298714242 316285668 398285656 448071363 474428502 597428484 632571336 896142726 948857004 1194856968 1344214089 1792285452 1897714008 2688428178 3584570904 4032642267 5376856356 8065284534 10753712712 16130569068 32261138136