Search a number
-
+
12901779396 = 223211217212
BaseRepresentation
bin11000000010000000…
…11000011111000100
31020022010222022010100
430001000120133010
5202410323420041
65532121524100
7634501213122
oct140100303704
936263868110
1012901779396
115520799900
122600943630
1312a7c320bc
148a56bc912
155079ee6b6
hex3010187c4

12901779396 has 81 divisors (see below), whose sum is σ = 35868002989. Its totient is φ = 3907358400.

The previous prime is 12901779389. The next prime is 12901779403. The reversal of 12901779396 is 69397710921.

It is a happy number.

The square root of 12901779396 is 113586.

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

It is an interprime number because it is at equal distance from previous prime (12901779389) and next prime (12901779403).

It can be written as a sum of positive squares in only one way, i.e., 9528492996 + 3373286400 = 97614^2 + 58080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7495816 + ... + 7497536.

Almost surely, 212901779396 is an apocalyptic number.

12901779396 is the 113586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12901779396

12901779396 is an abundant number, since it is smaller than the sum of its proper divisors (22966223593).

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

12901779396 is a wasteful number, since it uses less digits than its factorization.

12901779396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

It can be divided in two parts, 12901779 and 396, that multiplied together give a square (5109104484 = 714782).

The spelling of 12901779396 in words is "twelve billion, nine hundred one million, seven hundred seventy-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1721 2178 3442 4356 5163 6884 10326 15489 18931 20652 30978 37862 56793 61956 75724 113586 170379 208241 227172 340758 416482 624723 681516 832964 1249446 1874169 2498892 2961841 3748338 5923682 7496676 8885523 11847364 17771046 26656569 32580251 35542092 53313138 65160502 97740753 106626276 130321004 195481506 293222259 358382761 390963012 586444518 716765522 1075148283 1172889036 1433531044 2150296566 3225444849 4300593132 6450889698 12901779396