Search a number
-
+
1229992981520 = 2451091371029593
BaseRepresentation
bin10001111001100001010…
…010110111010000010000
311100120211022210102210212
4101321201102313100100
5130123011200402040
62341015002143252
7154602241560602
oct21714122672020
94316738712725
101229992981520
11434700a77026
1217a46a1b1b28
138bcac393354
1443763a67172
1521edcdc9d65
hex11e614b7410

1229992981520 has 80 divisors (see below), whose sum is σ = 2907038067120. Its totient is φ = 483924713472.

The previous prime is 1229992981517. The next prime is 1229992981571. The reversal of 1229992981520 is 251892999221.

It can be written as a sum of positive squares in 8 ways, for example, as 48754406416 + 1181238575104 = 220804^2 + 1086848^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1229992981520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679844 + ... + 1709436.

It is an arithmetic number, because the mean of its divisors is an integer number (36337975839).

Almost surely, 21229992981520 is an apocalyptic number.

1229992981520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229992981520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453519033560).

1229992981520 is an abundant number, since it is smaller than the sum of its proper divisors (1677045085600).

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

1229992981520 is a wasteful number, since it uses less digits than its factorization.

1229992981520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029852 (or 1029846 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 59.

The spelling of 1229992981520 in words is "one trillion, two hundred twenty-nine billion, nine hundred ninety-two million, nine hundred eighty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 137 218 274 436 545 548 685 872 1090 1096 1370 1744 2180 2192 2740 4360 5480 8720 10960 14933 29866 59732 74665 119464 149330 238928 298660 597320 1029593 1194640 2059186 4118372 5147965 8236744 10295930 16473488 20591860 41183720 82367440 112225637 141054241 224451274 282108482 448902548 561128185 564216964 705271205 897805096 1122256370 1128433928 1410542410 1795610192 2244512740 2256867856 2821084820 4489025480 5642169640 8978050960 11284339280 15374912269 30749824538 61499649076 76874561345 122999298152 153749122690 245998596304 307498245380 614996490760 1229992981520