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148363190098200 = 23375271137119057
BaseRepresentation
bin100001101110111101111111…
…001111100101100100011000
3201110022101022210212120000000
4201232331333033211210120
5123421240303131120300
61243313035243213000
743151613105145350
oct4156757717454430
9643271283776000
10148363190098200
1143300525a98830
1214781944217160
1364a27867731bc
14288cb610cdb60
151224401457c00
hex86ef7f3e5918

148363190098200 has 1536 divisors, whose sum is σ = 662430330316800. Its totient is φ = 29995254374400.

The previous prime is 148363190098181. The next prime is 148363190098219. The reversal of 148363190098200 is 2890091363841.

148363190098200 is a `hidden beast` number, since 1 + 4 + 8 + 36 + 319 + 0 + 0 + 98 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (148363190098181) and next prime (148363190098219).

It is a super-2 number, since 2×1483631900982002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1246093072 + ... + 1246212128.

It is an arithmetic number, because the mean of its divisors is an integer number (431269746300).

Almost surely, 2148363190098200 is an apocalyptic number.

148363190098200 is a gapful number since it is divisible by the number (10) 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 148363190098200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331215165158400).

148363190098200 is an abundant number, since it is smaller than the sum of its proper divisors (514067140218600).

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

148363190098200 is a wasteful number, since it uses less digits than its factorization.

148363190098200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119149 (or 119122 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 148363190098200 in words is "one hundred forty-eight trillion, three hundred sixty-three billion, one hundred ninety million, ninety-eight thousand, two hundred".