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63346113120 = 2535891482821
BaseRepresentation
bin111010111111101110…
…001111101001100000
320001111200212222000210
4322333232033221200
52014213101104440
645033435014120
74401530035353
oct727756175140
9201450788023
1063346113120
1124957258404
121033a59a340
135c86a66694
1430cd03429a
1519ab3b3a80
hexebfb8fa60

63346113120 has 96 divisors (see below), whose sum is σ = 201782417760. Its totient is φ = 16702484480.

The previous prime is 63346113101. The next prime is 63346113163. The reversal of 63346113120 is 2131164336.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×633461131202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698691 + ... + 784130.

It is an arithmetic number, because the mean of its divisors is an integer number (2101900185).

Almost surely, 263346113120 is an apocalyptic number.

63346113120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63346113120 is an abundant number, since it is smaller than the sum of its proper divisors (138436304640).

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

63346113120 is a wasteful number, since it uses less digits than its factorization.

63346113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482928 (or 1482920 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 63346113120 its reverse (2131164336), we get a palindrome (65477277456).

The spelling of 63346113120 in words is "sixty-three billion, three hundred forty-six million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 7120 8544 10680 14240 21360 42720 1482821 2965642 4448463 5931284 7414105 8896926 11862568 14828210 17793852 22242315 23725136 29656420 35587704 44484630 47450272 59312840 71175408 88969260 118625680 131971069 142350816 177938520 237251360 263942138 355877040 395913207 527884276 659855345 711754080 791826414 1055768552 1319710690 1583652828 1979566035 2111537104 2639421380 3167305656 3959132070 4223074208 5278842760 6334611312 7918264140 10557685520 12669222624 15836528280 21115371040 31673056560 63346113120