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1356494663160 = 23335713229311181
BaseRepresentation
bin10011101111010101011…
…000011110110111111000
311210200100110000200211000
4103233111120132313320
5134211100113210120
62515055352205000
7200001126251220
oct23572530366770
94720313020730
101356494663160
1148331696785a
1219aa93399760
139abbc569b00
1449924691080
1525443a64990
hex13bd561edf8

1356494663160 has 1536 divisors, whose sum is σ = 5980428288000. Its totient is φ = 267195801600.

The previous prime is 1356494663137. The next prime is 1356494663179. The reversal of 1356494663160 is 613664946531.

It is a happy number.

1356494663160 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 494 + 66 + 31 + 60 = 666.

It is a super-2 number, since 2×13564946631602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1356494663097 and 1356494663106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1148597770 + ... + 1148598950.

It is an arithmetic number, because the mean of its divisors is an integer number (3893508000).

Almost surely, 21356494663160 is an apocalyptic number.

1356494663160 is a gapful number since it is divisible by the number (10) 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 1356494663160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990214144000).

1356494663160 is an abundant number, since it is smaller than the sum of its proper divisors (4623933624840).

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

1356494663160 is a wasteful number, since it uses less digits than its factorization.

1356494663160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 1356494663160 in words is "one trillion, three hundred fifty-six billion, four hundred ninety-four million, six hundred sixty-three thousand, one hundred sixty".