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46448446968 = 23327118378147
BaseRepresentation
bin101011010000100010…
…110000110111111000
311102220001221120202200
4223100202300313320
51230111300300333
633201011230200
73233015166510
oct532042606770
9142801846680
1046448446968
1118775a34760
1290035a8360
1344c3023161
142368b92840
15131cba2c13
hexad08b0df8

46448446968 has 96 divisors (see below), whose sum is σ = 156838930560. Its totient is φ = 12064530240.

The previous prime is 46448446949. The next prime is 46448446997. The reversal of 46448446968 is 86964484464.

It is a happy number.

46448446968 is a `hidden beast` number, since 4 + 64 + 48 + 446 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4183530 + ... + 4194617.

It is an arithmetic number, because the mean of its divisors is an integer number (1633738860).

Almost surely, 246448446968 is an apocalyptic number.

It is an amenable number.

46448446968 is an abundant number, since it is smaller than the sum of its proper divisors (110390483592).

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

46448446968 is a wasteful number, since it uses less digits than its factorization.

46448446968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378177 (or 8378170 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 46448446968 in words is "forty-six billion, four hundred forty-eight million, four hundred forty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 8378147 16756294 25134441 33512588 50268882 58647029 67025176 75403323 92159617 100537764 117294058 150806646 175941087 184319234 201075528 234588116 276478851 301613292 351882174 368638468 469176232 527823261 552957702 603226584 645117319 703764348 737276936 829436553 1055646522 1105915404 1290234638 1407528696 1658873106 1935351957 2111293044 2211830808 2580469276 3317746212 3870703914 4222586088 5160938552 5806055871 6635492424 7741407828 11612111742 15482815656 23224223484 46448446968