Search a number
-
+
47833626680 = 23577310721871
BaseRepresentation
bin101100100011000110…
…110011100000111000
311120110121102000002222
4230203012303200320
51240430402023210
633550252343212
73312235055360
oct544306634070
9146417360088
1047833626680
1119316920784
12932b474b08
134683cb3018
14245ab279a0
15139e5bb655
hexb231b3838

47833626680 has 128 divisors (see below), whose sum is σ = 125856737280. Its totient is φ = 16023536640.

The previous prime is 47833626641. The next prime is 47833626683. The reversal of 47833626680 is 8662633874.

It is a Cunningham number, because it is equal to 2187092-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47833626683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2176145 + ... + 2198015.

It is an arithmetic number, because the mean of its divisors is an integer number (983255760).

Almost surely, 247833626680 is an apocalyptic number.

47833626680 is a gapful number since it is divisible by the number (40) 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 47833626680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62928368640).

47833626680 is an abundant number, since it is smaller than the sum of its proper divisors (78023110600).

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

47833626680 is a wasteful number, since it uses less digits than its factorization.

47833626680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22069 (or 22065 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 47833626680 in words is "forty-seven billion, eight hundred thirty-three million, six hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 107 140 146 214 280 292 365 428 511 535 584 730 749 856 1022 1070 1460 1498 2044 2140 2555 2920 2996 3745 4088 4280 5110 5992 7490 7811 10220 14980 15622 20440 21871 29960 31244 39055 43742 54677 62488 78110 87484 109354 109355 153097 156220 174968 218708 218710 273385 306194 312440 437416 437420 546770 612388 765485 874840 1093540 1224776 1530970 1596583 2187080 2340197 3061940 3193166 4680394 6123880 6386332 7982915 9360788 11176081 11700985 12772664 15965830 16381379 18721576 22352162 23401970 31931660 32762758 44704324 46803940 55880405 63863320 65525516 81906895 89408648 93607880 111760810 131051032 163813790 170834381 223521620 327627580 341668762 447043240 655255160 683337524 854171905 1195840667 1366675048 1708343810 2391681334 3416687620 4783362668 5979203335 6833375240 9566725336 11958406670 23916813340 47833626680