Search a number
-
+
20942617950 = 23252197134499
BaseRepresentation
bin10011100000010001…
…101111110101011110
32000001112020012222200
4103200101233311132
5320342302233300
613342040552330
71340656213122
oct234021576536
960045205880
1020942617950
11897761a921
1240857826a6
131c89a73637
141029577582
158288b5200
hex4e046fd5e

20942617950 has 144 divisors (see below), whose sum is σ = 60063120000. Its totient is φ = 5216097600.

The previous prime is 20942617939. The next prime is 20942617973. The reversal of 20942617950 is 5971624902.

20942617950 is a `hidden beast` number, since 2 + 0 + 9 + 426 + 179 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20942617896 and 20942617905.

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 71 ways as a sum of consecutive naturals, for example, 589801 + ... + 624299.

It is an arithmetic number, because the mean of its divisors is an integer number (417105000).

Almost surely, 220942617950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20942617950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30031560000).

20942617950 is an abundant number, since it is smaller than the sum of its proper divisors (39120502050).

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

20942617950 is a wasteful number, since it uses less digits than its factorization.

20942617950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34607 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 20942617950 in words is "twenty billion, nine hundred forty-two million, six hundred seventeen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 71 75 90 95 114 142 150 171 190 213 225 285 342 355 426 450 475 570 639 710 855 950 1065 1278 1349 1425 1710 1775 2130 2698 2850 3195 3550 4047 4275 5325 6390 6745 8094 8550 10650 12141 13490 15975 20235 24282 31950 33725 34499 40470 60705 67450 68998 101175 103497 121410 172495 202350 206994 303525 310491 344990 517485 607050 620982 655481 862475 1034970 1310962 1552455 1724950 1966443 2449429 2587425 3104910 3277405 3932886 4898858 5174850 5899329 6554810 7348287 7762275 9832215 11798658 12247145 14696574 15524550 16387025 19664430 22044861 24494290 29496645 32774050 36741435 44089722 46539151 49161075 58993290 61235725 73482870 93078302 98322150 110224305 122471450 139617453 147483225 183707175 220448610 232695755 279234906 294966450 367414350 418852359 465391510 551121525 698087265 837704718 1102243050 1163478775 1396174530 2094261795 2326957550 3490436325 4188523590 6980872650 10471308975 20942617950