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1463441076630 = 2325134364744959
BaseRepresentation
bin10101010010111011111…
…000101011000110010110
312011220101201120101221200
4111102323320223012112
5142434111403423010
63040143501053330
7210505301623101
oct25227370530626
95156351511850
101463441076630
11514707377135
121b775b557246
13a800423c780
1450b8c0bd738
1528102a30cc0
hex154bbe2b196

1463441076630 has 192 divisors, whose sum is σ = 4199502827520. Its totient is φ = 351302531328.

The previous prime is 1463441076613. The next prime is 1463441076637. The reversal of 1463441076630 is 366701443641.

1463441076630 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 4 + 4 + 1 + 0 + 7 + 6 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463441076637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32528091 + ... + 32573049.

It is an arithmetic number, because the mean of its divisors is an integer number (21872410560).

Almost surely, 21463441076630 is an apocalyptic number.

1463441076630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463441076630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099751413760).

1463441076630 is an abundant number, since it is smaller than the sum of its proper divisors (2736061750890).

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

1463441076630 is a wasteful number, since it uses less digits than its factorization.

1463441076630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45675 (or 45672 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1463441076630 in words is "one trillion, four hundred sixty-three billion, four hundred forty-one million, seventy-six thousand, six hundred thirty".