Search a number
-
+
2996419842680 = 235117393288289
BaseRepresentation
bin101011100110101000100…
…010100101001001111000
3101121110021122120102212212
4223212220202211021320
5343043131434431210
610212311500154252
7426325035264455
oct53465042451170
911543248512785
102996419842680
11a55857980580
12404886b38988
1318973aba9714
14a505563082c
1552e252a1805
hex2b9a88a5278

2996419842680 has 64 divisors (see below), whose sum is σ = 7455600136800. Its totient is φ = 1074681077760.

The previous prime is 2996419842667. The next prime is 2996419842707. The reversal of 2996419842680 is 862489146992.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2996419842680.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 46612025 + ... + 46676264.

Almost surely, 22996419842680 is an apocalyptic number.

2996419842680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2996419842680 is an abundant number, since it is smaller than the sum of its proper divisors (4459180294120).

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

2996419842680 is a wasteful number, since it uses less digits than its factorization.

2996419842680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93288384 (or 93288380 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 68.

The spelling of 2996419842680 in words is "two trillion, nine hundred ninety-six billion, four hundred nineteen million, eight hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 8030 16060 32120 93288289 186576578 373153156 466441445 746306312 932882890 1026171179 1865765780 2052342358 3731531560 4104684716 5130855895 6810045097 8209369432 10261711790 13620090194 20523423580 27240180388 34050225485 41046847160 54480360776 68100450970 74910496067 136200901940 149820992134 272401803880 299641984268 374552480335 599283968536 749104960670 1498209921340 2996419842680