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139733916100 = 225229212892
BaseRepresentation
bin1000001000100011001…
…0100101100111000100
3111100200022000102020221
42002020302211213010
54242133340303400
6144105354434124
713044510455332
oct2021062454704
9440608012227
10139733916100
1154296175399
12230b8732944
131023b70a7bc
146a98166b52
15397c6b1c1a
hex2088ca59c4

139733916100 has 81 divisors (see below), whose sum is σ = 314282918677. Its totient is φ = 53924335360.

The previous prime is 139733916083. The next prime is 139733916169. The reversal of 139733916100 is 1619337931.

The square root of 139733916100 is 373810.

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

It can be written as a sum of positive squares in 13 ways, for example, as 40302168516 + 99431747584 = 200754^2 + 315328^2 .

It is a Duffinian number.

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, 108404256 + ... + 108405544.

Almost surely, 2139733916100 is an apocalyptic number.

139733916100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139733916100 is the 373810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139733916100

139733916100 is an abundant number, since it is smaller than the sum of its proper divisors (174549002577).

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

139733916100 is an equidigital number, since it uses as much as digits as its factorization.

139733916100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 43.

The spelling of 139733916100 in words is "one hundred thirty-nine billion, seven hundred thirty-three million, nine hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 841 1289 1450 1682 2578 2900 3364 4205 5156 6445 8410 12890 16820 21025 25780 32225 37381 42050 64450 74762 84100 128900 149524 186905 373810 747620 934525 1084049 1661521 1869050 2168098 3323042 3738100 4336196 5420245 6646084 8307605 10840490 16615210 21680980 27101225 33230420 41538025 48184109 54202450 83076050 96368218 108404900 166152100 192736436 240920545 481841090 963682180 1204602725 1397339161 2409205450 2794678322 4818410900 5589356644 6986695805 13973391610 27946783220 34933479025 69866958050 139733916100