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1463049770752 = 28371131366907
BaseRepresentation
bin10101010010100100100…
…011111101011100000000
312011212101110021000012101
4111102210203331130000
5142432311220131002
63040041002040144
7210462510601453
oct25224443753400
95155343230171
101463049770752
115145264aa249
121b76704a9054
13a7c7115352b
1450b5213d49a
15280cd4d8587
hex154a48fd700

1463049770752 has 72 divisors (see below), whose sum is σ = 3025858628016. Its totient is φ = 705454718976.

The previous prime is 1463049770717. The next prime is 1463049770761. The reversal of 1463049770752 is 2570779403641.

It is a junction number, because it is equal to n+sod(n) for n = 1463049770693 and 1463049770702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386883 + ... + 1753789.

It is an arithmetic number, because the mean of its divisors is an integer number (42025814278).

Almost surely, 21463049770752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463049770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512929314008).

1463049770752 is an abundant number, since it is smaller than the sum of its proper divisors (1562808857264).

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

1463049770752 is a wasteful number, since it uses less digits than its factorization.

1463049770752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367073 (or 1367059 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 55.

The spelling of 1463049770752 in words is "one trillion, four hundred sixty-three billion, forty-nine million, seven hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 113 128 148 226 256 296 452 592 904 1184 1808 2368 3616 4181 4736 7232 8362 9472 14464 16724 28928 33448 66896 133792 267584 535168 1070336 1366907 2733814 5467628 10935256 21870512 43741024 50575559 87482048 101151118 154460491 174964096 202302236 308920982 349928192 404604472 617841964 809208944 1235683928 1618417888 2471367856 3236835776 4942735712 5715038167 6473671552 9885471424 11430076334 12947343104 19770942848 22860152668 39541885696 45720305336 91440610672 182881221344 365762442688 731524885376 1463049770752