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10332423136 = 257192427731
BaseRepresentation
bin10011001111101110…
…00100001111100000
3222200002021110221101
421213313010033200
5132130100020021
64425135404144
7514022101420
oct114767041740
928602243841
1010332423136
114422424482
122004383654
13c8882b159
14700376480
15407173a91
hex267dc43e0

10332423136 has 48 divisors (see below), whose sum is σ = 24471538560. Its totient is φ = 4195117440.

The previous prime is 10332423133. The next prime is 10332423169. The reversal of 10332423136 is 63132423301.

10332423136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103324231362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332423131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1209610 + ... + 1218121.

It is an arithmetic number, because the mean of its divisors is an integer number (509823720).

Almost surely, 210332423136 is an apocalyptic number.

10332423136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10332423136 is an abundant number, since it is smaller than the sum of its proper divisors (14139115424).

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

10332423136 is a wasteful number, since it uses less digits than its factorization.

10332423136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427767 (or 2427759 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 10332423136 its reverse (63132423301), we get a palindrome (73464846437).

The spelling of 10332423136 in words is "ten billion, three hundred thirty-two million, four hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 2427731 4855462 9710924 16994117 19421848 33988234 38843696 46126889 67976468 77687392 92253778 135952936 184507556 271905872 322888223 369015112 543811744 645776446 738030224 1291552892 1476060448 2583105784 5166211568 10332423136