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1356363364464 = 243228363152747
BaseRepresentation
bin10011101111001101100…
…011100111100001110000
311210200000021222000212100
4103233031203213201300
5134210313010130324
62515034342100400
7166664643241203
oct23571543474160
94720007860770
101356363364464
11483259839139
1219aa5741a700
139ab9b2b8184
144991107393a
152543727b4c9
hex13bcd8e7870

1356363364464 has 120 divisors (see below), whose sum is σ = 3815456108672. Its totient is φ = 449801009280.

The previous prime is 1356363364459. The next prime is 1356363364487. The reversal of 1356363364464 is 4644633636531.

1356363364464 is a `hidden beast` number, since 1 + 3 + 5 + 63 + 63 + 3 + 64 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1356363364464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25688139 + ... + 25740885.

Almost surely, 21356363364464 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 1356363364464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907728054336).

1356363364464 is an abundant number, since it is smaller than the sum of its proper divisors (2459092744208).

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

1356363364464 is a wasteful number, since it uses less digits than its factorization.

1356363364464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53675 (or 53666 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 54.

The spelling of 1356363364464 in words is "one trillion, three hundred fifty-six billion, three hundred sixty-three million, three hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 566 631 849 1132 1262 1698 1893 2264 2524 2547 3396 3786 4528 5048 5094 5679 6792 7572 10096 10188 11358 13584 15144 20376 22716 30288 40752 45432 52747 90864 105494 158241 178573 210988 316482 357146 421976 474723 535719 632964 714292 843952 949446 1071438 1265928 1428584 1607157 1898892 2142876 2531856 2857168 3214314 3797784 4285752 6428628 7595568 8571504 12857256 14927401 25714512 29854802 33283357 44782203 59709604 66566714 89564406 99850071 119419208 133133428 134346609 179128812 199700142 238838416 266266856 268693218 299550213 358257624 399400284 532533712 537386436 599100426 716515248 798800568 1074772872 1198200852 1597601136 2149545744 2396401704 4792803408 9419190031 18838380062 28257570093 37676760124 56515140186 75353520248 84772710279 113030280372 150707040496 169545420558 226060560744 339090841116 452121121488 678181682232 1356363364464