Search a number
-
+
47170300680 = 233251011297313
BaseRepresentation
bin101011111011100100…
…011010101100001000
311111202101020112220100
4223323210122230020
51233101044110210
633400355125400
73256631640336
oct537344325410
9144671215810
1047170300680
1119006450078
1291852a3860
1345a9744629
1423d69b8b56
1513612405c0
hexafb91ab08

47170300680 has 96 divisors (see below), whose sum is σ = 154821452760. Its totient is φ = 12454195200.

The previous prime is 47170300663. The next prime is 47170300703. The reversal of 47170300680 is 8600307174.

47170300680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46881776484 + 288524196 = 216522^2 + 16986^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612297 + ... + 685016.

Almost surely, 247170300680 is an apocalyptic number.

47170300680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47170300680 is an abundant number, since it is smaller than the sum of its proper divisors (107651152080).

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

47170300680 is a wasteful number, since it uses less digits than its factorization.

47170300680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297431 (or 1297424 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 47170300680 in words is "forty-seven billion, one hundred seventy million, three hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 1297313 2594626 3891939 5189252 6486565 7783878 10378504 11675817 12973130 15567756 19459695 23351634 25946260 31135512 38919390 46703268 51892520 58379085 77838780 93406536 116758170 131028613 155677560 233516340 262057226 393085839 467032680 524114452 655143065 786171678 1048228904 1179257517 1310286130 1572343356 1965429195 2358515034 2620572260 3144686712 3930858390 4717030068 5241144520 5896287585 7861716780 9434060136 11792575170 15723433560 23585150340 47170300680