Search a number
-
+
99988764100 = 225210323072
BaseRepresentation
bin101110100011111001…
…0110111010111000100
3100120002101111111111021
41131013302313113010
53114234110422400
6113533442120524
710136546320531
oct1350762672704
9316071444437
1099988764100
1139450061435
1217466050144
1395763a7494
144ba7777d88
15290326a71a
hex1747cb75c4

99988764100 has 81 divisors (see below), whose sum is σ = 219818643597. Its totient is φ = 39478186080.

The previous prime is 99988764079. The next prime is 99988764107. The reversal of 99988764100 is 146788999.

The square root of 99988764100 is 316210.

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., 35995955076 + 63992809024 = 189726^2 + 252968^2 .

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99988764107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 325696147 + ... + 325696453.

Almost surely, 299988764100 is an apocalyptic number.

99988764100 is the 316210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99988764100

99988764100 is an abundant number, since it is smaller than the sum of its proper divisors (119829879497).

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

99988764100 is a wasteful number, since it uses less digits than its factorization.

99988764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 99988764100 in words is "ninety-nine billion, nine hundred eighty-eight million, seven hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 307 412 515 614 1030 1228 1535 2060 2575 3070 5150 6140 7675 10300 10609 15350 21218 30700 31621 42436 53045 63242 94249 106090 126484 158105 188498 212180 265225 316210 376996 471245 530450 632420 790525 942490 1060900 1581050 1884980 2356225 3162100 3256963 4712450 6513926 9424900 9707647 13027852 16284815 19415294 32569630 38830588 48538235 65139260 81424075 97076470 162848150 194152940 242691175 325696300 485382350 970764700 999887641 1999775282 3999550564 4999438205 9998876410 19997752820 24997191025 49994382050 99988764100