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46678100448 = 253769461459
BaseRepresentation
bin101011011110001110…
…110100100111100000
311110111002002012010010
4223132032310213200
51231044043203243
633235453404520
73241504210260
oct533616644740
9143432065103
1046678100448
1118883630821
129068499740
13452b7907a5
14238b4937a0
151332e18433
hexade3b49e0

46678100448 has 48 divisors (see below), whose sum is σ = 140034303360. Its totient is φ = 13336599936.

The previous prime is 46678100437. The next prime is 46678100461. The reversal of 46678100448 is 84400187664.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×466781004482 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 46678100397 and 46678100406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34730058 + ... + 34731401.

It is an arithmetic number, because the mean of its divisors is an integer number (2917381320).

Almost surely, 246678100448 is an apocalyptic number.

46678100448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46678100448 is an abundant number, since it is smaller than the sum of its proper divisors (93356202912).

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

46678100448 is a wasteful number, since it uses less digits than its factorization.

46678100448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69461479 (or 69461471 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 46678100448 in words is "forty-six billion, six hundred seventy-eight million, one hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 69461459 138922918 208384377 277845836 416768754 486230213 555691672 833537508 972460426 1111383344 1458690639 1667075016 1944920852 2222766688 2917381278 3334150032 3889841704 5834762556 6668300064 7779683408 11669525112 15559366816 23339050224 46678100448