Search a number
-
+
70384180360 = 23513244923189
BaseRepresentation
bin100000110001100111…
…0010101110010001000
320201200012020211020211
41001203032111302020
52123121322232420
652200053130504
75041120443004
oct1014316256210
9221605224224
1070384180360
11279390424aa
1211783629a34
136838c0a500
143599a5d704
151c6e1ebe5a
hex1063395c88

70384180360 has 96 divisors (see below), whose sum is σ = 171872685000. Its totient is φ = 25929007104.

The previous prime is 70384180337. The next prime is 70384180459. The reversal of 70384180360 is 6308148307.

It can be written as a sum of positive squares in 12 ways, for example, as 7518564 + 70376661796 = 2742^2 + 265286^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 3023646 + ... + 3046834.

Almost surely, 270384180360 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 70384180360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85936342500).

70384180360 is an abundant number, since it is smaller than the sum of its proper divisors (101488504640).

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

70384180360 is a wasteful number, since it uses less digits than its factorization.

70384180360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23675 (or 23658 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 70384180360 in words is "seventy billion, three hundred eighty-four million, one hundred eighty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 449 520 676 845 898 1352 1690 1796 2245 3380 3592 4490 5837 6760 8980 11674 17960 23189 23348 29185 46378 46696 58370 75881 92756 115945 116740 151762 185512 231890 233480 301457 303524 379405 463780 602914 607048 758810 927560 1205828 1507285 1517620 2411656 3014570 3035240 3918941 6029140 7837882 10411861 12058280 15675764 19594705 20823722 31351528 39189410 41647444 52059305 78378820 83294888 104118610 135354193 156757640 208237220 270708386 416474440 541416772 676770965 1082833544 1353541930 1759604509 2707083860 3519209018 5414167720 7038418036 8798022545 14076836072 17596045090 35192090180 70384180360