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46878963712 = 21177614297
BaseRepresentation
bin101011101010001101…
…000011100000000000
311111000002001002201021
4223222031003200000
51232002003314322
633311430515224
73246463421410
oct535215034000
9144002032637
1046878963712
1118976a53319
129103805b14
13456128a9a9
1423aa01c640
1513458934c7
hexaea343800

46878963712 has 96 divisors (see below), whose sum is σ = 107291489760. Its totient is φ = 20059914240.

The previous prime is 46878963709. The next prime is 46878963749. The reversal of 46878963712 is 21736987864.

It is a happy number.

It is a super-2 number, since 2×468789637122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10907548 + ... + 10911844.

It is an arithmetic number, because the mean of its divisors is an integer number (1117619685).

Almost surely, 246878963712 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 46878963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53645744880).

46878963712 is an abundant number, since it is smaller than the sum of its proper divisors (60412526048).

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

46878963712 is an equidigital number, since it uses as much as digits as its factorization.

46878963712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5067 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 61.

The spelling of 46878963712 in words is "forty-six billion, eight hundred seventy-eight million, nine hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 761 896 1024 1522 1792 2048 3044 3584 4297 5327 6088 7168 8594 10654 12176 14336 17188 21308 24352 30079 34376 42616 48704 60158 68752 85232 97408 120316 137504 170464 194816 240632 275008 340928 389632 481264 550016 681856 779264 962528 1100032 1363712 1558528 1925056 2200064 2727424 3270017 3850112 4400128 5454848 6540034 7700224 8800256 10909696 13080068 15400448 22890119 26160136 30800896 45780238 52320272 61601792 91560476 104640544 183120952 209281088 366241904 418562176 732483808 837124352 1464967616 1674248704 2929935232 3348497408 5859870464 6696994816 11719740928 23439481856 46878963712