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47209480670064 = 24361144711142679
BaseRepresentation
bin10101011101111110100000…
…10100110100101101110000
320012011011220212201121120110
422232333100110310231300
522141440004022420224
6244223422551341320
712641525640450366
oct1256772024645560
9205134825647513
1047209480670064
11140514790a9329
12536561b681840
132045ab143a1ab
14b92d459ab636
1556d060d67929
hex2aefd0534b70

47209480670064 has 80 divisors (see below), whose sum is σ = 124042809720320. Its totient is φ = 15467819892480.

The previous prime is 47209480670063. The next prime is 47209480670101. The reversal of 47209480670064 is 46007608490274.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47209480669986 and 47209480670013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47209480670063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334524 + ... + 9808155.

It is an arithmetic number, because the mean of its divisors is an integer number (1550535121504).

Almost surely, 247209480670064 is an apocalyptic number.

It is an amenable number.

47209480670064 is an abundant number, since it is smaller than the sum of its proper divisors (76833329050256).

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

47209480670064 is a wasteful number, since it uses less digits than its factorization.

47209480670064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11144198 (or 11144192 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 47209480670064 in words is "forty-seven trillion, two hundred nine billion, four hundred eighty million, six hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1447 1464 2894 2928 4341 5788 8682 11576 17364 23152 34728 69456 88267 176534 264801 353068 529602 706136 1059204 1412272 2118408 4236816 11142679 22285358 33428037 44570716 66856074 89141432 133712148 178282864 267424296 534848592 679703419 1359406838 2039110257 2718813676 4078220514 5437627352 8156441028 10875254704 16123456513 16312882056 32246913026 32625764112 48370369539 64493826052 96740739078 128987652104 193481478156 257975304208 386962956312 773925912624 983530847293 1967061694586 2950592541879 3934123389172 5901185083758 7868246778344 11802370167516 15736493556688 23604740335032 47209480670064