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23432002542 = 2351337100237
BaseRepresentation
bin10101110100101001…
…111111101111101110
32020111000110001200000
4111310221333233232
5340442043040132
614433045045130
71456444510134
oct256451775756
966430401600
1023432002542
119a34833363
12465b3b67a6
132295727080
1411c4023754
159221e587c
hex574a7fbee

23432002542 has 96 divisors (see below), whose sum is σ = 58232664672. Its totient is φ = 7014916224.

The previous prime is 23432002541. The next prime is 23432002549. The reversal of 23432002542 is 24520023432.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23432002541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183648 + ... + 283884.

It is an arithmetic number, because the mean of its divisors is an integer number (606590257).

Almost surely, 223432002542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23432002542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29116332336).

23432002542 is an abundant number, since it is smaller than the sum of its proper divisors (34800662130).

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

23432002542 is a wasteful number, since it uses less digits than its factorization.

23432002542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100304 (or 100292 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23432002542 its reverse (24520023432), we get a palindrome (47952025974).

The spelling of 23432002542 in words is "twenty-three billion, four hundred thirty-two million, two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 243 333 351 481 486 666 702 962 999 1053 1443 1998 2106 2886 2997 3159 4329 5994 6318 8658 8991 12987 17982 25974 38961 77922 100237 116883 200474 233766 300711 601422 902133 1303081 1804266 2606162 2706399 3708769 3909243 5412798 7417538 7818486 8119197 11126307 11727729 16238394 22252614 23455458 24357591 33378921 35183187 48213997 48715182 66757842 70366374 96427994 100136763 105549561 144641991 200273526 211099122 289283982 300410289 316648683 433925973 600820578 633297366 867851946 901230867 1301777919 1802461734 2603555838 3905333757 7810667514 11716001271 23432002542