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89739219264 = 26319314511669
BaseRepresentation
bin101001110010011011…
…1111101000101000000
322120122002011200012120
41103210313331011000
52432241220004024
6105120422524240
76324551530602
oct1234467750500
9276562150176
1089739219264
11350704a4722
1215485596680
138601aa6856
1444b4417172
152503518479
hex14e4dfd140

89739219264 has 112 divisors (see below), whose sum is σ = 238972831680. Its totient is φ = 29719756800.

The previous prime is 89739219253. The next prime is 89739219281. The reversal of 89739219264 is 46291293798.

It is a super-2 number, since 2×897392192642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89739219198 and 89739219207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53767422 + ... + 53769090.

Almost surely, 289739219264 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 89739219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119486415840).

89739219264 is an abundant number, since it is smaller than the sum of its proper divisors (149233612416).

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

89739219264 is a wasteful number, since it uses less digits than its factorization.

89739219264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3318 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 60.

The spelling of 89739219264 in words is "eighty-nine billion, seven hundred thirty-nine million, two hundred nineteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 579 772 1158 1451 1544 1669 2316 2902 3088 3338 4353 4632 5007 5804 6176 6676 8706 9264 10014 11608 12352 13352 17412 18528 20028 23216 26704 34824 37056 40056 46432 53408 69648 80112 92864 106816 139296 160224 278592 280043 320448 322117 560086 644234 840129 966351 1120172 1288468 1680258 1932702 2240344 2421719 2576936 3360516 3865404 4480688 4843438 5153872 6721032 7265157 7730808 8961376 9686876 10307744 13442064 14530314 15461616 17922752 19373752 20615488 26884128 29060628 30923232 38747504 53768256 58121256 61846464 77495008 116242512 154990016 232485024 464970048 467391767 934783534 1402175301 1869567068 2804350602 3739134136 5608701204 7478268272 11217402408 14956536544 22434804816 29913073088 44869609632 89739219264