Search a number
-
+
121770828688 = 24233119953639
BaseRepresentation
bin111000101101000011…
…0110110001110010000
3102122022102022000210011
41301122012312032100
53443341313004223
6131535111244304
711540410652155
oct1613206661620
9378272260704
10121770828688
1147708504a03
121b724979694
13b6380326b2
145c725c822c
15327a69a80d
hex1c5a1b6390

121770828688 has 80 divisors (see below), whose sum is σ = 255412224000. Its totient is φ = 56075310720.

The previous prime is 121770828643. The next prime is 121770828701. The reversal of 121770828688 is 886828077121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2243373 + ... + 2297011.

It is an arithmetic number, because the mean of its divisors is an integer number (3192652800).

Almost surely, 2121770828688 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 121770828688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127706112000).

121770828688 is an abundant number, since it is smaller than the sum of its proper divisors (133641395312).

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

121770828688 is a wasteful number, since it uses less digits than its factorization.

121770828688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53900 (or 53894 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 58.

The spelling of 121770828688 in words is "one hundred twenty-one billion, seven hundred seventy million, eight hundred twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 199 248 368 398 496 713 796 1426 1592 2852 3184 4577 5704 6169 9154 11408 12338 18308 24676 36616 49352 53639 73232 98704 107278 141887 214556 283774 429112 567548 858224 1135096 1233697 1662809 2270192 2467394 3325618 4934788 6651236 9869576 10674161 13302472 19739152 21348322 26604944 38244607 42696644 76489214 85393288 152978428 170786576 245505703 305956856 330898991 491011406 611913712 661797982 982022812 1323595964 1964045624 2647191928 3928091248 5294383856 7610676793 15221353586 30442707172 60885414344 121770828688