Search a number
-
+
23033044033032 = 2331190796192259
BaseRepresentation
bin1010011110010110011000…
…11010000101111000001000
310000112221022102220120210010
411033023030122011320020
511004333133233024112
6120553122341551520
74565040205643505
oct517131432057010
9100487272816703
1023033044033032
117380293982920
1226bbb5ba155a0
13cb1011a396b7
14598b3b9884ac
1529e22059463c
hex14f2cc685e08

23033044033032 has 64 divisors (see below), whose sum is σ = 62886651897600. Its totient is φ = 6972014859840.

The previous prime is 23033044033031. The next prime is 23033044033033.

It is a happy number.

23033044033032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23033044033031) and next prime (23033044033033).

It is a super-2 number, since 2×230330440330322 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23033044033031) 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, 47856682 + ... + 48335577.

It is an arithmetic number, because the mean of its divisors is an integer number (982603935900).

Almost surely, 223033044033032 is an apocalyptic number.

23033044033032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23033044033032 is an abundant number, since it is smaller than the sum of its proper divisors (39853607864568).

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

23033044033032 is a wasteful number, since it uses less digits than its factorization.

23033044033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96193186 (or 96193182 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 2303304 and 4033032, that added together give a palindrome (6336336).

The spelling of 23033044033032 in words is "twenty-three trillion, thirty-three billion, forty-four million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 907 1814 2721 3628 5442 7256 9977 10884 19954 21768 29931 39908 59862 79816 119724 239448 96192259 192384518 288576777 384769036 577153554 769538072 1058114849 1154307108 2116229698 2308614216 3174344547 4232459396 6348689094 8464918792 12697378188 25394756376 87246378913 174492757826 261739136739 348985515652 523478273478 697971031304 959710168043 1046956546956 1919420336086 2093913093912 2879130504129 3838840672172 5758261008258 7677681344344 11516522016516 23033044033032