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26230092800 = 210521953927
BaseRepresentation
bin11000011011011011…
…110111010000000000
32111201000112202220112
4120123123313100000
5412204400432200
620014441530452
71616002052522
oct303333672000
974630482815
1026230092800
1110140226a4a
1251004a3a28
132620335c92
1413ab8aba12
15a37ba4535
hex61b6f7400

26230092800 has 132 divisors (see below), whose sum is σ = 68442181920. Its totient is φ = 9939640320.

The previous prime is 26230092797. The next prime is 26230092821. The reversal of 26230092800 is 829003262.

It is a super-2 number, since 2×262300928002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459437 + ... + 513363.

Almost surely, 226230092800 is an apocalyptic number.

26230092800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26230092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34221090960).

26230092800 is an abundant number, since it is smaller than the sum of its proper divisors (42212089120).

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

26230092800 is a wasteful number, since it uses less digits than its factorization.

26230092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53976 (or 53953 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 26230092800 in words is "twenty-six billion, two hundred thirty million, ninety-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 512 608 640 760 800 950 1024 1216 1280 1520 1600 1900 2432 2560 3040 3200 3800 4864 5120 6080 6400 7600 9728 12160 12800 15200 19456 24320 25600 30400 48640 53927 60800 97280 107854 121600 215708 243200 269635 431416 486400 539270 862832 1024613 1078540 1348175 1725664 2049226 2157080 2696350 3451328 4098452 4314160 5123065 5392700 6902656 8196904 8628320 10246130 10785400 13805312 16393808 17256640 20492260 21570800 25615325 27610624 32787616 34513280 40984520 43141600 51230650 55221248 65575232 69026560 81969040 86283200 102461300 131150464 138053120 163938080 172566400 204922600 262300928 276106240 327876160 345132800 409845200 524601856 655752320 690265600 819690400 1049203712 1311504640 1380531200 1639380800 2623009280 3278761600 5246018560 6557523200 13115046400 26230092800