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10238164830 = 23351713117027
BaseRepresentation
bin10011000100011110…
…11111111101011110
3222102111220122212000
421202033133331132
5131431432233310
64411531223130
7511465652025
oct114217377536
928374818760
1010238164830
1143841a4853
121b988a7aa6
13c72147bca
146d1a3b8bc
153edc554c0
hex2623dff5e

10238164830 has 128 divisors (see below), whose sum is σ = 29130140160. Its totient is φ = 2549813760.

The previous prime is 10238164829. The next prime is 10238164831. The reversal of 10238164830 is 3846183201.

10238164830 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 8 + 1 + 648 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10238164829) and next prime (10238164831).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10238164831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 592777 + ... + 609803.

It is an arithmetic number, because the mean of its divisors is an integer number (227579220).

Almost surely, 210238164830 is an apocalyptic number.

10238164830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10238164830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565070080).

10238164830 is an abundant number, since it is smaller than the sum of its proper divisors (18891975330).

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

10238164830 is a wasteful number, since it uses less digits than its factorization.

10238164830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17191 (or 17185 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10238164830 in words is "ten billion, two hundred thirty-eight million, one hundred sixty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 131 135 153 170 255 262 270 306 393 459 510 655 765 786 918 1179 1310 1530 1965 2227 2295 2358 3537 3930 4454 4590 5895 6681 7074 11135 11790 13362 17027 17685 20043 22270 33405 34054 35370 40086 51081 60129 66810 85135 100215 102162 120258 153243 170270 200430 255405 289459 300645 306486 459729 510810 578918 601290 766215 868377 919458 1447295 1532430 1736754 2230537 2298645 2605131 2894590 4341885 4461074 4597290 5210262 6691611 7815393 8683770 11152685 13025655 13383222 15630786 20074833 22305370 26051310 33458055 37919129 39076965 40149666 60224499 66916110 75838258 78153930 100374165 113757387 120448998 189595645 200748330 227514774 301122495 341272161 379191290 568786935 602244990 682544322 1023816483 1137573870 1706360805 2047632966 3412721610 5119082415 10238164830