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46216720000 = 275411291811
BaseRepresentation
bin101011000010101110…
…110010111010000000
311102021220220122010101
4223002232302322000
51224122440020000
633122012412144
73224202431623
oct530256627200
9142256818111
1046216720000
1118667151870
128b59a77054
13448700aac9
1423460b1dba
15130767ce6a
hexac2bb2e80

46216720000 has 320 divisors, whose sum is σ = 129912789600. Its totient is φ = 16217600000.

The previous prime is 46216719973. The next prime is 46216720001. The reversal of 46216720000 is 2761264.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (46216720001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25519095 + ... + 25520905.

Almost surely, 246216720000 is an apocalyptic number.

46216720000 is a gapful number since it is divisible by the number (40) 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 46216720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64956394800).

46216720000 is an abundant number, since it is smaller than the sum of its proper divisors (83696069600).

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

46216720000 is a wasteful number, since it uses less digits than its factorization.

46216720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 46216720000 in words is "forty-six billion, two hundred sixteen million, seven hundred twenty thousand".