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198780198136 = 231331142743207
BaseRepresentation
bin1011100100100000111…
…0010001110011111000
3201000002100000022220121
42321020032101303320
511224100212320021
6231152433303024
720234646543232
oct2711016216370
9630070008817
10198780198136
117733626aa93
1232637104a74
131598b6b3820
14989a0b9252
155286326741
hex2e48391cf8

198780198136 has 64 divisors (see below), whose sum is σ = 414630881280. Its totient is φ = 88720928640.

The previous prime is 198780198101. The next prime is 198780198151. The reversal of 198780198136 is 631891087891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4579045 + ... + 4622251.

It is an arithmetic number, because the mean of its divisors is an integer number (6478607520).

Almost surely, 2198780198136 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 198780198136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207315440640).

198780198136 is an abundant number, since it is smaller than the sum of its proper divisors (215850683144).

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

198780198136 is a wasteful number, since it uses less digits than its factorization.

198780198136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44684 (or 44680 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 61.

The spelling of 198780198136 in words is "one hundred ninety-eight billion, seven hundred eighty million, one hundred ninety-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1427 1612 2854 3224 5708 11416 18551 37102 43207 44237 74204 86414 88474 148408 172828 176948 345656 353896 561691 575081 1123382 1150162 1339417 2246764 2300324 2678834 4493528 4600648 5357668 10715336 17412421 34824842 61656389 69649684 123312778 139299368 246625556 493251112 801533057 1603066114 1911348059 3206132228 3822696118 6412264456 7645392236 15290784472 24847524767 49695049534 99390099068 198780198136