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193409434148 = 22737211234493
BaseRepresentation
bin1011010000100000011…
…0011100001000100100
3200111020000222020202212
42310020012130020210
511132100303343043
6224503455222552
716654603031210
oct2641006341044
9614200866685
10193409434148
117502a646567
1231598517a58
1315313aab978
14950aaa3940
15506ea84018
hex2d0819c224

193409434148 has 72 divisors (see below), whose sum is σ = 397998562752. Its totient is φ = 80559743616.

The previous prime is 193409434139. The next prime is 193409434187. The reversal of 193409434148 is 841434904391.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 193409434096 and 193409434105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43044590 + ... + 43049082.

It is an arithmetic number, because the mean of its divisors is an integer number (5527757816).

Almost surely, 2193409434148 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 193409434148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198999281376).

193409434148 is an abundant number, since it is smaller than the sum of its proper divisors (204589128604).

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

193409434148 is a wasteful number, since it uses less digits than its factorization.

193409434148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 193409434148 in words is "one hundred ninety-three billion, four hundred nine million, four hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 1036 1123 1369 2246 2738 4492 4493 5476 7861 8986 9583 15722 17972 19166 31444 31451 38332 41551 62902 83102 125804 166204 166241 290857 332482 581714 664964 1163428 1163687 1537387 2327374 3074774 4654748 5045639 6149548 6150917 10091278 10761709 12301834 20182556 21523418 24603668 35319473 43046836 43056419 70638946 86112838 141277892 172225676 186688643 373377286 746754572 1306820501 2613641002 5227282004 6907479791 13814959582 27629919164 48352358537 96704717074 193409434148