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1056661448136 = 2337101532311699
BaseRepresentation
bin11110110000001011110…
…11100010010111001000
310202000102112221020001020
433120011323202113020
5114303020312320021
62125231253552440
7136225025054250
oct17300573422710
93660375836036
101056661448136
11378144927588
12150955945720
1378848166048
14391dd766960
151c745d4d7c6
hexf605ee25c8

1056661448136 has 128 divisors (see below), whose sum is σ = 3049757568000. Its totient is φ = 298832428800.

The previous prime is 1056661448131. The next prime is 1056661448191. The reversal of 1056661448136 is 6318441666501.

1056661448136 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 a super-2 number, since 2×10566614481362 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056661448131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90314815 + ... + 90326513.

It is an arithmetic number, because the mean of its divisors is an integer number (23826231000).

Almost surely, 21056661448136 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 1056661448136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524878784000).

1056661448136 is an abundant number, since it is smaller than the sum of its proper divisors (1993096119864).

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

1056661448136 is a wasteful number, since it uses less digits than its factorization.

1056661448136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17139 (or 17135 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 1056661448136 in words is "one trillion, fifty-six billion, six hundred sixty-one million, four hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 5323 5656 8484 10646 11699 15969 16968 21292 23398 31938 35097 37261 42584 46796 63876 70194 74522 81893 93592 111783 127752 140388 149044 163786 223566 245679 280776 298088 327572 447132 491358 537623 655144 894264 982716 1075246 1181599 1612869 1965432 2150492 2363198 3225738 3544797 3763361 4300984 4726396 6451476 7089594 7526722 8271193 9452792 11290083 12902952 14179188 15053444 16542386 22580166 24813579 28358376 30106888 33084772 45160332 49627158 62273777 66169544 90320664 99254316 124547554 186821331 198508632 249095108 373642662 435916439 498190216 747285324 871832878 1307749317 1494570648 1743665756 2615498634 3487331512 5230997268 6289651477 10461994536 12579302954 18868954431 25158605908 37737908862 44027560339 50317211816 75475817724 88055120678 132082681017 150951635448 176110241356 264165362034 352220482712 528330724068 1056661448136