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2990921207184 = 243231246492
BaseRepresentation
bin101011100001100000110…
…010111100110110010000
3101120221002102220211000100
4223201200302330312100
5343000401312112214
610210002113252400
7426041546535261
oct53414062746620
911527072824010
102990921207184
11a53496059319
124037b1564100
13189072952b51
14a4a93250968
1552c026a1309
hex2b860cbcd90

2990921207184 has 135 divisors (see below), whose sum is σ = 8651009995329. Its totient is φ = 964605761280.

The previous prime is 2990921207173. The next prime is 2990921207203. The reversal of 2990921207184 is 4817021290992.

It is a happy number.

The square root of 2990921207184 is 1729428.

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

2990921207184 is a `hidden beast` number, since 299 + 0 + 92 + 120 + 71 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2926932445584 + 63988761600 = 1710828^2 + 252960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2990921207184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 643344892 + ... + 643349540.

Almost surely, 22990921207184 is an apocalyptic number.

2990921207184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2990921207184 is the 1729428-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2990921207184

2990921207184 is an abundant number, since it is smaller than the sum of its proper divisors (5660088788145).

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

2990921207184 is an frugal number, since it uses more digits than its factorization.

2990921207184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 2990921207184 in words is "two trillion, nine hundred ninety billion, nine hundred twenty-one million, two hundred seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1488 1922 2232 2883 3844 4464 4649 5766 7688 8649 9298 11532 13947 15376 17298 18596 23064 27894 34596 37192 41841 46128 55788 69192 74384 83682 111576 138384 144119 167364 223152 288238 334728 432357 576476 669456 864714 1152952 1297071 1729428 2305904 2594142 3458856 4467689 5188284 6917712 8935378 10376568 13403067 17870756 20753136 21613201 26806134 35741512 40209201 43226402 53612268 64839603 71483024 80418402 86452804 107224536 129679206 160836804 172905608 194518809 214449072 259358412 321673608 345811216 389037618 518716824 643347216 670009231 778075236 1037433648 1340018462 1556150472 2010027693 2680036924 3112300944 4020055386 5360073848 6030083079 8040110772 10720147696 12060166158 16080221544 20770286161 24120332316 32160443088 41540572322 48240664632 62310858483 83081144644 96481329264 124621716966 166162289288 186932575449 249243433932 332324578576 373865150898 498486867864 747730301796 996973735728 1495460603592 2990921207184