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190788998436 = 223243216932
BaseRepresentation
bin1011000110101111101…
…0010001010100100100
3200020110102011022202100
42301223322101110210
511111213440422221
6223351450212100
716532633505021
oct2615372212444
9606412138670
10190788998436
1173a05463413
1230b86a24030
1314cb6c321aa
14933ca62548
154e699b8926
hex2c6be91524

190788998436 has 81 divisors (see below), whose sum is σ = 494040465009. Its totient is φ = 62080657632.

The previous prime is 190788998371. The next prime is 190788998447. The reversal of 190788998436 is 634899887091.

The square root of 190788998436 is 436794.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72689552100 + 118099446336 = 269610^2 + 343656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112692006 + ... + 112693698.

Almost surely, 2190788998436 is an apocalyptic number.

190788998436 is the 436794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190788998436

190788998436 is an abundant number, since it is smaller than the sum of its proper divisors (303251466573).

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

190788998436 is an equidigital number, since it uses as much as digits as its factorization.

190788998436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 190788998436 in words is "one hundred ninety billion, seven hundred eighty-eight million, nine hundred ninety-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1693 1849 3386 3698 5079 5547 6772 7396 10158 11094 15237 16641 20316 22188 30474 33282 60948 66564 72799 145598 218397 291196 436794 655191 873588 1310382 2620764 2866249 3130357 5732498 6260714 8598747 9391071 11464996 12521428 17197494 18782142 25796241 28173213 34394988 37564284 51592482 56346426 103184964 112692852 123248707 246497414 369746121 492994828 739492242 1109238363 1478984484 2218476726 4436953452 5299694401 10599388802 15899083203 21198777604 31798166406 47697249609 63596332812 95394499218 190788998436