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46224446064 = 2432942178877
BaseRepresentation
bin101011000011001100…
…010001001001110000
311102022110110011021220
4223003030101021300
51224131424233224
633122450145040
73224325210606
oct530314211160
9142273404256
1046224446064
1118670549545
128b60582180
1344887b4644
142347123876
1513081a7279
hexac3311270

46224446064 has 80 divisors (see below), whose sum is σ = 123825839520. Its totient is φ = 14841308160.

The previous prime is 46224445979. The next prime is 46224446069. The reversal of 46224446064 is 46064442264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46224446069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546594 + ... + 625470.

It is an arithmetic number, because the mean of its divisors is an integer number (1547822994).

Almost surely, 246224446064 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 46224446064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61912919760).

46224446064 is an abundant number, since it is smaller than the sum of its proper divisors (77601393456).

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

46224446064 is a wasteful number, since it uses less digits than its factorization.

46224446064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79338 (or 79332 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 46224446064 in words is "forty-six billion, two hundred twenty-four million, four hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 421 464 696 842 1263 1392 1684 2526 3368 5052 6736 10104 12209 20208 24418 36627 48836 73254 78877 97672 146508 157754 195344 236631 293016 315508 473262 586032 631016 946524 1262032 1893048 2287433 3786096 4574866 6862299 9149732 13724598 18299464 27449196 33207217 36598928 54898392 66414434 99621651 109796784 132828868 199243302 265657736 398486604 531315472 796973208 963009293 1593946416 1926018586 2889027879 3852037172 5778055758 7704074344 11556111516 15408148688 23112223032 46224446064