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23434093632 = 2631727725919
BaseRepresentation
bin10101110100110001…
…111110010001000000
32020111011101022002210
4111310301332101000
5340443111444012
614433201542120
71456501336455
oct256461762100
966434338083
1023434093632
119a35a31434
124660044940
132295ca9ac1
1411c440982c
159224aa23c
hex574c7e440

23434093632 has 112 divisors (see below), whose sum is σ = 65889469440. Its totient is φ = 7325048832.

The previous prime is 23434093601. The next prime is 23434093633. The reversal of 23434093632 is 23639043432.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23434093633) 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, 891169 + ... + 917087.

Almost surely, 223434093632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23434093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32944734720).

23434093632 is an abundant number, since it is smaller than the sum of its proper divisors (42455375808).

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

23434093632 is a wasteful number, since it uses less digits than its factorization.

23434093632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26228 (or 26218 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 39.

The spelling of 23434093632 in words is "twenty-three billion, four hundred thirty-four million, ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 277 408 544 554 816 831 1088 1108 1632 1662 2216 3264 3324 4432 4709 6648 8864 9418 13296 14127 17728 18836 25919 26592 28254 37672 51838 53184 56508 75344 77757 103676 113016 150688 155514 207352 226032 301376 311028 414704 440623 452064 622056 829408 881246 904128 1244112 1321869 1658816 1762492 2488224 2643738 3524984 4976448 5287476 7049968 7179563 10574952 14099936 14359126 21149904 21538689 28199872 28718252 42299808 43077378 57436504 84599616 86154756 114873008 122052571 172309512 229746016 244105142 344619024 366157713 459492032 488210284 689238048 732315426 976420568 1378476096 1464630852 1952841136 2929261704 3905682272 5858523408 7811364544 11717046816 23434093632