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23405208072 = 233312773372
BaseRepresentation
bin10101110011000011…
…110010001000001000
32020102011000202120020
4111303003302020020
5340413213124242
614430250500440
71456000662141
oct256303621010
966364022506
1023405208072
119a206a2274
124652434720
13229000515c
1411c064aac8
1591eba16ec
hex5730f2208

23405208072 has 96 divisors (see below), whose sum is σ = 60799000320. Its totient is φ = 7500487680.

The previous prime is 23405208049. The next prime is 23405208077. The reversal of 23405208072 is 27080250432.

It is a super-2 number, since 2×234052080722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23405208077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69451488 + ... + 69451824.

It is an arithmetic number, because the mean of its divisors is an integer number (633322920).

Almost surely, 223405208072 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 23405208072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30399500160).

23405208072 is an abundant number, since it is smaller than the sum of its proper divisors (37393792248).

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

23405208072 is a wasteful number, since it uses less digits than its factorization.

23405208072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 23405208072 in words is "twenty-three billion, four hundred five million, two hundred eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 277 337 372 554 674 744 831 1011 1108 1348 1662 2022 2216 2696 3324 4044 6648 8088 8587 10447 17174 20894 25761 31341 34348 41788 51522 62682 68696 83576 93349 103044 113569 125364 186698 206088 227138 250728 280047 340707 373396 454276 560094 681414 746792 908552 1120188 1362828 2240376 2725656 2893819 3520639 5787638 7041278 8681457 10561917 11575276 14082556 17362914 21123834 23150552 28165112 31458613 34725828 42247668 62917226 69451656 84495336 94375839 125834452 188751678 251668904 377503356 755006712 975217003 1950434006 2925651009 3900868012 5851302018 7801736024 11702604036 23405208072