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47507931768 = 233113110356359
BaseRepresentation
bin101100001111101100…
…011000001001111000
311112121220112222200110
4230033230120021320
51234244012304033
633454055504320
73301201520463
oct541754301170
9145556488613
1047507931768
1119169a97330
12925a3880a0
13463168993b
1424297862da
151380bd4363
hexb0fb18278

47507931768 has 128 divisors (see below), whose sum is σ = 135047577600. Its totient is φ = 13796438400.

The previous prime is 47507931739. The next prime is 47507931769. The reversal of 47507931768 is 86713970574.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47507931769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814773 + ... + 871131.

It is an arithmetic number, because the mean of its divisors is an integer number (1055059200).

Almost surely, 247507931768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47507931768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67523788800).

47507931768 is an abundant number, since it is smaller than the sum of its proper divisors (87539645832).

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

47507931768 is a wasteful number, since it uses less digits than its factorization.

47507931768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56513 (or 56509 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 47507931768 in words is "forty-seven billion, five hundred seven million, nine hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 103 124 132 186 206 248 264 309 341 372 412 618 682 744 824 1023 1133 1236 1364 2046 2266 2472 2728 3193 3399 4092 4532 6386 6798 8184 9064 9579 12772 13596 19158 25544 27192 35123 38316 56359 70246 76632 105369 112718 140492 169077 210738 225436 280984 338154 421476 450872 619949 676308 842952 1239898 1352616 1747129 1859847 2479796 3494258 3719694 4959592 5241387 5804977 6988516 7439388 10482774 11609954 13977032 14878776 17414931 19218419 20965548 23219908 34829862 38436838 41931096 46439816 57655257 63854747 69659724 76873676 115310514 127709494 139319448 153747352 179954287 191564241 230621028 255418988 359908574 383128482 461242056 510837976 539862861 719817148 766256964 1079725722 1439634296 1532513928 1979497157 2159451444 3958994314 4318902888 5938491471 7917988628 11876982942 15835977256 23753965884 47507931768