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146828138700 = 22352221232
BaseRepresentation
bin1000100010111110100…
…0111001100011001100
3112000222201001021011010
42020233220321203030
54401201000414300
6151241340325220
713415352405135
oct2105750714314
9460881037133
10146828138700
11572a6724881
1224558543810
1310acc3b3659
14716c40cc8c
153c453dda50
hex222fa398cc

146828138700 has 54 divisors (see below), whose sum is σ = 424841951604. Its totient is φ = 39152400480.

The previous prime is 146828138693. The next prime is 146828138707. The reversal of 146828138700 is 7831828641.

It is an interprime number because it is at equal distance from previous prime (146828138693) and next prime (146828138707).

It is a self number, because there is not a number n which added to its sum of digits gives 146828138700.

It is not an unprimeable number, because it can be changed into a prime (146828138707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6625839 + ... + 6647961.

Almost surely, 2146828138700 is an apocalyptic number.

146828138700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146828138700 is an abundant number, since it is smaller than the sum of its proper divisors (278013812904).

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

146828138700 is an frugal number, since it uses more digits than its factorization.

146828138700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44263 (or 22133 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

Multiplying 146828138700 by its sum of digits (48), we get a square (7047750657600 = 26547602).

The spelling of 146828138700 in words is "one hundred forty-six billion, eight hundred twenty-eight million, one hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 22123 44246 66369 88492 110615 132738 221230 265476 331845 442460 553075 663690 1106150 1327380 1659225 2212300 3318450 6636900 489427129 978854258 1468281387 1957708516 2447135645 2936562774 4894271290 5873125548 7341406935 9788542580 12235678225 14682813870 24471356450 29365627740 36707034675 48942712900 73414069350 146828138700