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2999761648324 = 227219326412
BaseRepresentation
bin101011101001101111101…
…110100011101011000100
3101121202220112202202102021
4223221233232203223010
5343122002440221244
610214023234452524
7426503614205200
oct53515756435304
911552815682367
102999761648324
11a57212279621
1240545a134144
13189b513383cc
14a52913adb00
155306d861284
hex2ba6fba3ac4

2999761648324 has 81 divisors (see below), whose sum is σ = 6148053619911. Its totient is φ = 1276955688960.

The previous prime is 2999761648277. The next prime is 2999761648327. The reversal of 2999761648324 is 4238461679992.

It is a happy number.

The square root of 2999761648324 is 1731982.

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

It can be written as a sum of positive squares in 4 ways, for example, as 115307784900 + 2884453863424 = 339570^2 + 1698368^2 .

It is not an unprimeable number, because it can be changed into a prime (2999761648327) 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, 4679815044 + ... + 4679815684.

Almost surely, 22999761648324 is an apocalyptic number.

2999761648324 is the 1731982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2999761648324

2999761648324 is an abundant number, since it is smaller than the sum of its proper divisors (3148291971587).

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

2999761648324 is an frugal number, since it uses more digits than its factorization.

2999761648324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 843 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 70.

The spelling of 2999761648324 in words is "two trillion, nine hundred ninety-nine billion, seven hundred sixty-one million, six hundred forty-eight thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 193 196 386 641 772 1282 1351 2564 2702 4487 5404 8974 9457 17948 18914 31409 37249 37828 62818 74498 123713 125636 148996 247426 260743 410881 494852 521486 821762 865991 1042972 1643524 1731982 1825201 2876167 3463964 3650402 5752334 6061937 7300804 11504668 12123874 20133169 23876609 24247748 40266338 47753218 79300033 80532676 95506436 158600066 167136263 317200132 334272526 555100231 668545052 1110200462 1169953841 2220400924 2339907682 3885701617 4679815364 7771403234 15304906369 15542806468 30609812738 61219625476 107134344583 214268689166 428537378332 749940412081 1499880824162 2999761648324