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46307133696 = 283311193877
BaseRepresentation
bin101011001000000111…
…101100100100000000
311102112020001010101210
4223020013230210000
51224314111234241
633135002330120
73226351066455
oct531007544400
9142466033353
1046307133696
1118703195a2a
128b841b9940
13449c976135
1423540c982c
15131058c316
hexac81ec900

46307133696 has 72 divisors (see below), whose sum is σ = 123641429184. Its totient is φ = 15385999360.

The previous prime is 46307133667. The next prime is 46307133713. The reversal of 46307133696 is 69633170364.

It is a super-3 number, since 3×463071336963 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 141910 + ... + 335786.

It is an arithmetic number, because the mean of its divisors is an integer number (1717242072).

Almost surely, 246307133696 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 46307133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61820714592).

46307133696 is an abundant number, since it is smaller than the sum of its proper divisors (77334295488).

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

46307133696 is a wasteful number, since it uses less digits than its factorization.

46307133696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194207 (or 194193 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 46307133696 in words is "forty-six billion, three hundred seven million, one hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 311 384 622 768 933 1244 1866 2488 3732 4976 7464 9952 14928 19904 29856 39808 59712 79616 119424 193877 238848 387754 581631 775508 1163262 1551016 2326524 3102032 4653048 6204064 9306096 12408128 18612192 24816256 37224384 49632512 60295747 74448768 120591494 148897536 180887241 241182988 361774482 482365976 723548964 964731952 1447097928 1929463904 2894195856 3858927808 5788391712 7717855616 11576783424 15435711232 23153566848 46307133696