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1063093311672 = 233712413509783
BaseRepresentation
bin11110111100001010100…
…11001001100010111000
310202122000210121202010020
433132011103021202320
5114404203341433142
62132213415050440
7136543305024060
oct17360523114270
93678023552106
101063093311672
1137a945506887
1215204b970a20
137933184b662
143964da723a0
151c9c0840cec
hexf7854c98b8

1063093311672 has 64 divisors (see below), whose sum is σ = 3037660116480. Its totient is φ = 303715880832.

The previous prime is 1063093311671. The next prime is 1063093311673. The reversal of 1063093311672 is 2761133903601.

It is a happy number.

1063093311672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1063093311671) and next prime (1063093311673).

It is a super-2 number, since 2×10630933116722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063093311671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1830493 + ... + 2340275.

It is an arithmetic number, because the mean of its divisors is an integer number (47463439320).

Almost surely, 21063093311672 is an apocalyptic number.

1063093311672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1063093311672 is an abundant number, since it is smaller than the sum of its proper divisors (1974566804808).

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

1063093311672 is a wasteful number, since it uses less digits than its factorization.

1063093311672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522212 (or 522208 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 1063093311672 in words is "one trillion, sixty-three billion, ninety-three million, three hundred eleven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 12413 24826 37239 49652 74478 86891 99304 148956 173782 260673 297912 347564 509783 521346 695128 1019566 1042692 1529349 2039132 2085384 3058698 3568481 4078264 6117396 7136962 10705443 12234792 14273924 21410886 28547848 42821772 85643544 6327936379 12655872758 18983809137 25311745516 37967618274 44295554653 50623491032 75935236548 88591109306 132886663959 151870473096 177182218612 265773327918 354364437224 531546655836 1063093311672