Search a number
-
+
2996651476770 = 2357312063223129
BaseRepresentation
bin101011100110110110010…
…110001100011100100010
3101121110212210102200010020
4223212312112030130202
5343044120234224040
610212350453014310
7426333550164510
oct53466626143442
911543783380106
102996651476770
11a559666aa706
12404930624396
13189776b8b703
14a50782c94b0
1552e3a7a8cd0
hex2b9b658c722

2996651476770 has 128 divisors (see below), whose sum is σ = 8488679178240. Its totient is φ = 662529507840.

The previous prime is 2996651476757. The next prime is 2996651476771. The reversal of 2996651476770 is 776741566992.

2996651476770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2996651476695 and 2996651476704.

It is not an unprimeable number, because it can be changed into a prime (2996651476771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13318566 + ... + 13541694.

It is an arithmetic number, because the mean of its divisors is an integer number (66317806080).

Almost surely, 22996651476770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996651476770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244339589120).

2996651476770 is an abundant number, since it is smaller than the sum of its proper divisors (5492027701470).

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

2996651476770 is a wasteful number, since it uses less digits than its factorization.

2996651476770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225240.

The product of its (nonzero) digits is 240045120, while the sum is 69.

The spelling of 2996651476770 in words is "two trillion, nine hundred ninety-six billion, six hundred fifty-one million, four hundred seventy-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2063 2170 3255 4126 6189 6510 10315 12378 14441 20630 28882 30945 43323 61890 63953 72205 86646 127906 144410 191859 216615 223129 319765 383718 433230 446258 447671 639530 669387 895342 959295 1115645 1338774 1343013 1561903 1918590 2231290 2238355 2686026 3123806 3346935 4476710 4685709 6693870 6715065 6916999 7809515 9371418 13430130 13833998 15619030 20750997 23428545 34584995 41501994 46857090 48418993 69169990 96837986 103754985 145256979 207509970 242094965 290513958 460315127 484189930 726284895 920630254 1380945381 1452569790 2301575635 2761890762 3222205889 4603151270 6444411778 6904726905 9666617667 13809453810 14269768937 16111029445 19333235334 28539537874 32222058890 42809306811 48333088335 71348844685 85618613622 96666176670 99888382559 142697689370 199776765118 214046534055 299665147677 428093068110 499441912795 599330295354 998883825590 1498325738385 2996651476770