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649459453440 = 2935723534889
BaseRepresentation
bin10010111001101101100…
…11001100111000000000
32022002100221112121122010
421130312303030320000
541120043110002230
61214205122012520
764631132161200
oct11346663147000
92262327477563
10649459453440
11230485a25a56
12a5a527a7140
13493227198a5
1423610ca6400
1511d6203a9b0
hex9736ccce00

649459453440 has 480 divisors, whose sum is σ = 2422556151840. Its totient is φ = 147997065216.

The previous prime is 649459453429. The next prime is 649459453441. The reversal of 649459453440 is 44354954946.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649459453441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132838516 + ... + 132843404.

It is an arithmetic number, because the mean of its divisors is an integer number (5046991983).

Almost surely, 2649459453440 is an apocalyptic number.

649459453440 is a gapful number since it is divisible by the number (60) 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 649459453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211278075920).

649459453440 is an abundant number, since it is smaller than the sum of its proper divisors (1773096698400).

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

649459453440 is a wasteful number, since it uses less digits than its factorization.

649459453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 57.

The spelling of 649459453440 in words is "six hundred forty-nine billion, four hundred fifty-nine million, four hundred fifty-three thousand, four hundred forty".