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47804158962 = 23772367883
BaseRepresentation
bin101100100001010110…
…011001001111110010
311120101112221220000000
4230201112121033302
51240400331041322
633543321010430
73311426434560
oct544126311762
9146345856000
1047804158962
111930122419a
129321623a16
13467ab663c1
142456c56a30
15139bbea3ac
hexb215993f2

47804158962 has 128 divisors (see below), whose sum is σ = 128251883520. Its totient is φ = 13064298192.

The previous prime is 47804158951. The next prime is 47804158993. The reversal of 47804158962 is 26985140874.

It is a happy number.

47804158962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×478041589622 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 47804158899 and 47804158908.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670273 + ... + 738155.

It is an arithmetic number, because the mean of its divisors is an integer number (1001967840).

Almost surely, 247804158962 is an apocalyptic number.

47804158962 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47804158962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64125941760).

47804158962 is an abundant number, since it is smaller than the sum of its proper divisors (80447724558).

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

47804158962 is an equidigital number, since it uses as much as digits as its factorization.

47804158962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67936 (or 67918 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 47804158962 in words is "forty-seven billion, eight hundred four million, one hundred fifty-eight thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 243 322 378 414 483 486 567 621 729 966 1134 1242 1449 1458 1701 1863 2187 2898 3402 3726 4347 4374 5103 5589 8694 10206 11178 13041 15309 16767 26082 30618 33534 39123 50301 67883 78246 100602 117369 135766 203649 234738 352107 407298 475181 610947 704214 950362 1221894 1425543 1561309 1832841 2851086 3122618 3665682 4276629 4683927 5498523 8553258 9367854 10929163 10997046 12829887 14051781 16495569 21858326 25659774 28103562 32787489 32991138 38489661 42155343 49486707 65574978 76979322 84310686 98362467 98973414 115468983 126466029 148460121 196724934 230937966 252932058 295087401 296920242 346406949 379398087 590174802 692813898 758796174 885262203 1039220847 1138194261 1770524406 2078441694 2276388522 2655786609 3414582783 5311573218 6829165566 7967359827 15934719654 23902079481 47804158962