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46135389440 = 28572811907
BaseRepresentation
bin101010111101111000…
…100010110100000000
311102002020212121120102
4222331320202310000
51223441124430230
633105545301532
73222164224400
oct527570426400
9142066777512
1046135389440
1118625251a28
128b367948a8
134473202c0a
142339380800
151300465045
hexabde22d00

46135389440 has 216 divisors, whose sum is σ = 128851323552. Its totient is φ = 15780925440.

The previous prime is 46135389403. The next prime is 46135389449. The reversal of 46135389440 is 4498353164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46135389449) 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, 50865467 + ... + 50866373.

Almost surely, 246135389440 is an apocalyptic number.

46135389440 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 46135389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64425661776).

46135389440 is an abundant number, since it is smaller than the sum of its proper divisors (82715934112).

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

46135389440 is an equidigital number, since it uses as much as digits as its factorization.

46135389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 46135389440 in words is "forty-six billion, one hundred thirty-five million, three hundred eighty-nine thousand, four hundred forty".