Search a number
-
+
16970790100 = 22521118478353
BaseRepresentation
bin11111100111000100…
…11011010011010100
31121210201112110110111
433303202123103110
5234224010240400
611443554532404
71140360223105
oct176342332324
947721473414
1016970790100
117219628870
123357597104
1317a5c36c44
14b6dc783ac
15694d573ba
hex3f389b4d4

16970790100 has 72 divisors (see below), whose sum is σ = 40201051968. Its totient is φ = 6167116800.

The previous prime is 16970790059. The next prime is 16970790119. The reversal of 16970790100 is 109707961.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027524 + ... + 2035876.

It is an arithmetic number, because the mean of its divisors is an integer number (558347944).

Almost surely, 216970790100 is an apocalyptic number.

16970790100 is a gapful number since it is divisible by the number (10) 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 16970790100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20100525984).

16970790100 is an abundant number, since it is smaller than the sum of its proper divisors (23230261868).

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

16970790100 is a wasteful number, since it uses less digits than its factorization.

16970790100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10225 (or 10218 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 40.

The spelling of 16970790100 in words is "sixteen billion, nine hundred seventy million, seven hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1847 3694 7388 8353 9235 16706 18470 20317 33412 36940 40634 41765 46175 81268 83530 91883 92350 101585 167060 183766 184700 203170 208825 367532 406340 417650 459415 507925 835300 918830 1015850 1837660 2031700 2297075 4594150 9188300 15427991 30855982 61711964 77139955 154279910 169707901 308559820 339415802 385699775 678831604 771399550 848539505 1542799100 1697079010 3394158020 4242697525 8485395050 16970790100