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70105455440 = 24517232299787
BaseRepresentation
bin100000101001010011…
…1000101101101010000
320200221202210010112122
41001102213011231100
52122033444033230
652112255113412
75031164352626
oct1012247055520
9220852703478
1070105455440
112780577a329
1211706212868
1367c324b317
143570a27516
151c549e1be5
hex10529c5b50

70105455440 has 160 divisors (see below), whose sum is σ = 180891636480. Its totient is φ = 25132326912.

The previous prime is 70105455419. The next prime is 70105455449. The reversal of 70105455440 is 4455450107.

It is a self number, because there is not a number n which added to its sum of digits gives 70105455440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70105455449) 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, 7158227 + ... + 7168013.

It is an arithmetic number, because the mean of its divisors is an integer number (1130572728).

Almost surely, 270105455440 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 70105455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90445818240).

70105455440 is an abundant number, since it is smaller than the sum of its proper divisors (110786181040).

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

70105455440 is a wasteful number, since it uses less digits than its factorization.

70105455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10069 (or 10063 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 35.

The spelling of 70105455440 in words is "seventy billion, one hundred five million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 229 230 272 340 368 391 458 460 680 782 916 920 1145 1360 1564 1832 1840 1955 2290 3128 3664 3893 3910 4580 5267 6256 7786 7820 9160 9787 10534 15572 15640 18320 19465 19574 21068 26335 31144 31280 38930 39148 42136 48935 52670 62288 77860 78296 84272 89539 97870 105340 155720 156592 166379 179078 195740 210680 225101 311440 332758 358156 391480 421360 447695 450202 665516 716312 782960 831895 895390 900404 1125505 1331032 1432624 1663790 1790780 1800808 2241223 2251010 2662064 3327580 3581560 3601616 3826717 4482446 4502020 6655160 7163120 7653434 8964892 9004040 11206115 13310320 15306868 17929784 18008080 19133585 22412230 30613736 35859568 38100791 38267170 44824460 51548129 61227472 76201582 76534340 89648920 103096258 152403164 153068680 179297840 190503955 206192516 257740645 304806328 306137360 381007910 412385032 515481290 609612656 762015820 824770064 876318193 1030962580 1524031640 1752636386 2061925160 3048063280 3505272772 4123850320 4381590965 7010545544 8763181930 14021091088 17526363860 35052727720 70105455440