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23284787652 = 223272101130693
BaseRepresentation
bin10101101011111000…
…011010100111000100
32020002202102202210200
4111223320122213010
5340141401201102
614410305450500
71453006300200
oct255370324704
966082382720
1023284787652
119969723665
12461a040a30
132271091a79
1411ac661b00
1591431651c
hex56be1a9c4

23284787652 has 108 divisors (see below), whose sum is σ = 69146797356. Its totient is φ = 6586876800.

The previous prime is 23284787651. The next prime is 23284787657. The reversal of 23284787652 is 25678748232.

It can be written as a sum of positive squares in 2 ways, for example, as 21020360256 + 2264427396 = 144984^2 + 47586^2 .

It is not an unprimeable number, because it can be changed into a prime (23284787651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112818 + ... + 243510.

Almost surely, 223284787652 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 23284787652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34573398678).

23284787652 is an abundant number, since it is smaller than the sum of its proper divisors (45862009704).

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

23284787652 is a wasteful number, since it uses less digits than its factorization.

23284787652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130818 (or 130806 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 23284787652 in words is "twenty-three billion, two hundred eighty-four million, seven hundred eighty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 101 126 147 196 202 252 294 303 404 441 588 606 707 882 909 1212 1414 1764 1818 2121 2828 3636 4242 4949 6363 8484 9898 12726 14847 19796 25452 29694 44541 59388 89082 130693 178164 261386 392079 522772 784158 914851 1176237 1568316 1829702 2352474 2744553 3659404 4704948 5489106 6403957 8233659 10978212 12807914 13199993 16467318 19211871 25615828 26399986 32934636 38423742 39599979 52799972 57635613 76847484 79199958 92399951 115271226 118799937 158399916 184799902 230542452 237599874 277199853 369599804 475199748 554399706 646799657 831599559 1108799412 1293599314 1663199118 1940398971 2587198628 3326398236 3880797942 5821196913 7761595884 11642393826 23284787652