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2948003069352 = 23311172803234343
BaseRepresentation
bin101010111001100010101…
…011001111110110101000
3101102211022101212111221220
4222321202223033312220
5341300002241204402
610134143252502040
7422662156432065
oct52714253176650
911384271774856
102948003069352
11a37271973120
123b741431a920
13184cc314bc13
14a29812a9c6c
1551a3e8e5dbc
hex2ae62acfda8

2948003069352 has 128 divisors (see below), whose sum is σ = 8516023464960. Its totient is φ = 840481643520.

The previous prime is 2948003069227. The next prime is 2948003069353. The reversal of 2948003069352 is 2539603008492.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 2948003069295 and 2948003069304.

It is not an unprimeable number, because it can be changed into a prime (2948003069353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12462693 + ... + 12697035.

It is an arithmetic number, because the mean of its divisors is an integer number (66531433320).

Almost surely, 22948003069352 is an apocalyptic number.

2948003069352 is a gapful number since it is divisible by the number (22) 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 2948003069352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258011732480).

2948003069352 is an abundant number, since it is smaller than the sum of its proper divisors (5568020395608).

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

2948003069352 is a wasteful number, since it uses less digits than its factorization.

2948003069352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237183 (or 237179 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 2948003069352 in words is "two trillion, nine hundred forty-eight billion, three million, sixty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 2803 4488 5606 8409 11212 16818 22424 30833 33636 47651 61666 67272 92499 95302 123332 142953 184998 190604 234343 246664 285906 369996 381208 468686 524161 571812 703029 739992 937372 1048322 1143624 1406058 1572483 1874744 2096644 2577773 2812116 3144966 3983831 4193288 5155546 5624232 6289932 7733319 7967662 10311092 11951493 12579864 15466638 15935324 20622184 23902986 30933276 31870648 43822141 47805972 61866552 87644282 95611944 131466423 175288564 262932846 350577128 525865692 656863429 1051731384 1313726858 1970590287 2627453716 3941180574 5254907432 7225497719 7882361148 11166678293 14450995438 15764722296 21676493157 22333356586 28901990876 33500034879 43352986314 44666713172 57803981752 67000069758 86705972628 89333426344 122833461223 134000139516 173411945256 245666922446 268000279032 368500383669 491333844892 737000767338 982667689784 1474001534676 2948003069352