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70053128288 = 25111321961979
BaseRepresentation
bin100000100111101111…
…1011110100001100000
320200211010022122011222
41001033133132201200
52121432100101123
652103145354212
75026660523423
oct1011737364140
9220733278158
1070053128288
112778918a150
12116b0798968
1367b5459900
143567ac59ba
151c501076c8
hex104f7de860

70053128288 has 144 divisors (see below), whose sum is σ = 171496180800. Its totient is φ = 27845475840.

The previous prime is 70053128281. The next prime is 70053128351. The reversal of 70053128288 is 88282135007.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70053128281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099283 + ... + 1161261.

It is an arithmetic number, because the mean of its divisors is an integer number (1190945700).

Almost surely, 270053128288 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 70053128288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85748090400).

70053128288 is an abundant number, since it is smaller than the sum of its proper divisors (101443052512).

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

70053128288 is a wasteful number, since it uses less digits than its factorization.

70053128288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62045 (or 62024 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 70053128288 in words is "seventy billion, fifty-three million, one hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 76 88 104 143 152 169 176 208 209 247 286 304 338 352 416 418 494 572 608 676 836 988 1144 1352 1672 1859 1976 2288 2704 2717 3211 3344 3718 3952 4576 5408 5434 6422 6688 7436 7904 10868 12844 14872 21736 25688 29744 35321 43472 51376 59488 61979 70642 86944 102752 123958 141284 247916 282568 495832 565136 681769 805727 991664 1130272 1177601 1363538 1611454 1983328 2355202 2727076 3222908 4710404 5454152 6445816 8862997 9420808 10474451 10908304 12891632 12953611 15308813 17725994 18841616 20948902 21816608 25783264 25907222 30617626 35451988 37683232 41897804 51814444 61235252 70903976 83795608 103628888 115218961 122470504 141807952 167591216 168396943 199014569 207257776 230437922 244941008 283615904 335182432 336793886 398029138 414515552 460875844 489882016 673587772 796058276 921751688 1347175544 1592116552 1843503376 2189160259 2694351088 3184233104 3687006752 4378320518 5388702176 6368466208 8756641036 17513282072 35026564144 70053128288