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1070405792148 = 2237112131543617
BaseRepresentation
bin11111001001110010010…
…10000011000110010100
310210022220102100020112110
433210321022003012110
5120014142340322043
62135423154551020
7140222440053120
oct17447112030624
93708812306473
101070405792148
11382a58189680
12153550898470
1379c28801c94
1439b44cd0580
151cc9c7d1b33
hexf939283194

1070405792148 has 96 divisors (see below), whose sum is σ = 3115374732288. Its totient is φ = 277896499200.

The previous prime is 1070405792089. The next prime is 1070405792161. The reversal of 1070405792148 is 8412975040701.

It is a super-2 number, since 2×10704057921482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1070405792097 and 1070405792106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697236 + ... + 2240852.

It is an arithmetic number, because the mean of its divisors is an integer number (32451820128).

Almost surely, 21070405792148 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 1070405792148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557687366144).

1070405792148 is an abundant number, since it is smaller than the sum of its proper divisors (2044968940140).

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

1070405792148 is a wasteful number, since it uses less digits than its factorization.

1070405792148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545773 (or 545771 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 1070405792148 in words is "one trillion, seventy billion, four hundred five million, seven hundred ninety-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2131 4262 6393 8524 12786 14917 23441 25572 29834 44751 46882 59668 70323 89502 93764 140646 164087 179004 281292 328174 492261 543617 656348 984522 1087234 1630851 1969044 2174468 3261702 3805319 5979787 6523404 7610638 11415957 11959574 15221276 17939361 22831914 23919148 35878722 41858509 45663828 71757444 83717018 125575527 167434036 251151054 502302108 1158447827 2316895654 3475343481 4633791308 6950686962 8109134789 12742926097 13901373924 16218269578 24327404367 25485852194 32436539156 38228778291 48654808734 50971704388 76457556582 89200482679 97309617468 152915113164 178400965358 267601448037 356801930716 535202896074 1070405792148