Search a number
-
+
1070745348528 = 243241571317617
BaseRepresentation
bin11111001010011010110…
…01010110100110110000
310210100210002021111022200
433211031121112212300
5120020341302123103
62135521004503200
7140234032202322
oct17451531264660
93710702244280
101070745348528
11383111920389
1215362654ab00
1379c80c6c70b
1439b7803d612
151ccbc5060a3
hexf94d6569b0

1070745348528 has 120 divisors (see below), whose sum is σ = 3075073297296. Its totient is φ = 347598950400.

The previous prime is 1070745348503. The next prime is 1070745348583. The reversal of 1070745348528 is 8258435470701.

1070745348528 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 7 + 4 + 534 + 85 + 28 = 666.

It is a super-2 number, since 2×10707453485282 (a number of 25 digits) contains 22 as substring.

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, 3212376 + ... + 3529992.

Almost surely, 21070745348528 is an apocalyptic number.

1070745348528 is a gapful number since it is divisible by the number (18) 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 1070745348528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537536648648).

1070745348528 is an abundant number, since it is smaller than the sum of its proper divisors (2004327948768).

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

1070745348528 is a wasteful number, since it uses less digits than its factorization.

1070745348528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318243 (or 318234 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 1070745348528 in words is "one trillion, seventy billion, seven hundred forty-five million, three hundred forty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 571 656 738 984 1142 1476 1713 1968 2284 2952 3426 4568 5139 5904 6852 9136 10278 13704 20556 23411 27408 41112 46822 70233 82224 93644 140466 187288 210699 280932 317617 374576 421398 561864 635234 842796 952851 1123728 1270468 1685592 1905702 2540936 2858553 3371184 3811404 5081872 5717106 7622808 11434212 13022297 15245616 22868424 26044594 39066891 45736848 52089188 78133782 104178376 117200673 156267564 181359307 208356752 234401346 312535128 362718614 468802692 544077921 625070256 725437228 937605384 1088155842 1450874456 1632233763 1875210768 2176311684 2901748912 3264467526 4352623368 6528935052 7435731587 8705246736 13057870104 14871463174 22307194761 26115740208 29742926348 44614389522 59485852696 66921584283 89228779044 118971705392 133843168566 178457558088 267686337132 356915116176 535372674264 1070745348528