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47085331968 = 29336155837
BaseRepresentation
bin101011110110100000…
…010010011000000000
311111112110100200202000
4223312200102120000
51232412321110333
633344122024000
73254550501213
oct536640223000
9144473320660
1047085331968
1118a724958a4
129160948000
134594c6479c
1423c95bb77a
151358a59713
hexaf6812600

47085331968 has 160 divisors (see below), whose sum is σ = 141663239520. Its totient is φ = 15437537280.

The previous prime is 47085331967. The next prime is 47085331991. The reversal of 47085331968 is 86913358074.

47085331968 is a `hidden beast` number, since 47 + 0 + 8 + 533 + 1 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47085331963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815346 + ... + 871182.

It is an arithmetic number, because the mean of its divisors is an integer number (885395247).

Almost surely, 247085331968 is an apocalyptic number.

47085331968 is a gapful number since it is divisible by the number (48) 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 47085331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70831619760).

47085331968 is an abundant number, since it is smaller than the sum of its proper divisors (94577907552).

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

47085331968 is an equidigital number, since it uses as much as digits as its factorization.

47085331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55925 (or 55903 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 47085331968 in words is "forty-seven billion, eighty-five million, three hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 512 549 576 732 768 864 976 1098 1152 1464 1536 1647 1728 1952 2196 2304 2928 3294 3456 3904 4392 4608 5856 6588 6912 7808 8784 11712 13176 13824 15616 17568 23424 26352 31232 35136 46848 52704 55837 70272 93696 105408 111674 140544 167511 210816 223348 281088 335022 421632 446696 502533 670044 843264 893392 1005066 1340088 1507599 1786784 2010132 2680176 3015198 3406057 3573568 4020264 5360352 6030396 6812114 7147136 8040528 10218171 10720704 12060792 13624228 14294272 16081056 20436342 21441408 24121584 27248456 28588544 30654513 32162112 40872684 42882816 48243168 54496912 61309026 64324224 81745368 85765632 91963539 96486336 108993824 122618052 128648448 163490736 183927078 192972672 217987648 245236104 257296896 326981472 367854156 385945344 435975296 490472208 653962944 735708312 771890688 871950592 980944416 1307925888 1471416624 1743901184 1961888832 2615851776 2942833248 3923777664 5231703552 5885666496 7847555328 11771332992 15695110656 23542665984 47085331968