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47146387968 = 293210231421
BaseRepresentation
bin101011111010001001…
…001100101000000000
311111200201020122211100
4223322021030220000
51233023433403333
633354142414400
73256221454101
oct537211145000
9144621218740
1047146387968
1118aa39a80a9
129179291400
1345a47c12b4
1423d37523a8
15135e0ba213
hexafa24ca00

47146387968 has 60 divisors (see below), whose sum is σ = 136067681178. Its totient is φ = 15715461120.

The previous prime is 47146387931. The next prime is 47146387973. The reversal of 47146387968 is 86978364174.

47146387968 is a `hidden beast` number, since 4 + 7 + 1 + 463 + 87 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46635266304 + 511121664 = 215952^2 + 22608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5111103 + ... + 5120318.

Almost surely, 247146387968 is an apocalyptic number.

47146387968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47146387968 is an abundant number, since it is smaller than the sum of its proper divisors (88921293210).

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

47146387968 is a wasteful number, since it uses less digits than its factorization.

47146387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10231445 (or 10231426 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 47146387968 in words is "forty-seven billion, one hundred forty-six million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 10231421 20462842 30694263 40925684 61388526 81851368 92082789 122777052 163702736 184165578 245554104 327405472 368331156 491108208 654810944 736662312 982216416 1309621888 1473324624 1964432832 2619243776 2946649248 3928865664 5238487552 5893298496 7857731328 11786596992 15715462656 23573193984 47146387968