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46230644736 = 2113223167653
BaseRepresentation
bin101011000011100011…
…111010100000000000
311102022220010002021100
4223003203322200000
51224140021112421
633123231054400
73224431665543
oct530343724000
9142286102240
1046230644736
1118673aa2711
128b62671400
134489b74bb3
142347c9885a
1513089cdc26
hexac38fa800

46230644736 has 288 divisors, whose sum is σ = 140376862080. Its totient is φ = 14629502976.

The previous prime is 46230644723. The next prime is 46230644737. The reversal of 46230644736 is 63744603264.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 46230644691 and 46230644700.

It is not an unprimeable number, because it can be changed into a prime (46230644737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70796986 + ... + 70797638.

It is an arithmetic number, because the mean of its divisors is an integer number (487419660).

Almost surely, 246230644736 is an apocalyptic number.

46230644736 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46230644736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70188431040).

46230644736 is an abundant number, since it is smaller than the sum of its proper divisors (94146217344).

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

46230644736 is a wasteful number, since it uses less digits than its factorization.

46230644736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 46230644736 in words is "forty-six billion, two hundred thirty million, six hundred forty-four thousand, seven hundred thirty-six".