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1069882706070 = 2355521845069
BaseRepresentation
bin11111001000110011111…
…10101000100010010110
310210021112222001201100000
433210121332220202112
5120012104433043240
62135255231232130
7140203455644613
oct17443176504226
93707488051300
101069882706070
11382809994332
12153425678646
1379b74325ba9
1439ad564950a
151cc6b908430
hexf919fa8896

1069882706070 has 96 divisors (see below), whose sum is σ = 2890261090080. Its totient is φ = 284754113280.

The previous prime is 1069882706069. The next prime is 1069882706077. The reversal of 1069882706070 is 706072889601.

1069882706070 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 8 + 8 + 27 + 0 + 607 + 0 = 666.

It is a super-2 number, since 2×10698827060702 (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 = 1069882705998 and 1069882706016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069882706077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843496 + ... + 1688564.

It is an arithmetic number, because the mean of its divisors is an integer number (30106886355).

Almost surely, 21069882706070 is an apocalyptic number.

1069882706070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069882706070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445130545040).

1069882706070 is an abundant number, since it is smaller than the sum of its proper divisors (1820378384010).

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

1069882706070 is an equidigital number, since it uses as much as digits as its factorization.

1069882706070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845612 (or 845600 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1069882706070 in words is "one trillion, sixty-nine billion, eight hundred eighty-two million, seven hundred six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 521 810 1042 1215 1563 2430 2605 3126 4689 5210 7815 9378 14067 15630 23445 28134 42201 46890 70335 84402 126603 140670 211005 253206 422010 633015 845069 1266030 1690138 2535207 4225345 5070414 7605621 8450690 12676035 15211242 22816863 25352070 38028105 45633726 68450589 76056210 114084315 136901178 205351767 228168630 342252945 410703534 440280949 684505890 880561898 1026758835 1320842847 2053517670 2201404745 2641685694 3962528541 4402809490 6604214235 7925057082 11887585623 13208428470 19812642705 23775171246 35662756869 39625285410 59437928115 71325513738 106988270607 118875856230 178313784345 213976541214 356627568690 534941353035 1069882706070