Search a number
-
+
20892202977212 = 22753130322434817
BaseRepresentation
bin1001100000000010110000…
…10101100100011110111100
32201222021102112202210101022
410300001120111210132330
510214244212430232322
6112233425012203312
74254261160136360
oct460013025443674
981867375683338
1020892202977212
116725373a16246
122415070609538
13b871845b7198
1452328bcd52a0
152636c2b0d942
hex1300585647bc

20892202977212 has 96 divisors (see below), whose sum is σ = 42633307487232. Its totient is φ = 8772384531456.

The previous prime is 20892202977187. The next prime is 20892202977221. The reversal of 20892202977212 is 21277920229802.

It is a Harshad number since it is a multiple of its sum of digits (53).

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 31 ways as a sum of consecutive naturals, for example, 4337179028 + ... + 4337183844.

It is an arithmetic number, because the mean of its divisors is an integer number (444096952992).

Almost surely, 220892202977212 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 20892202977212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21316653743616).

20892202977212 is an abundant number, since it is smaller than the sum of its proper divisors (21741104510020).

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

20892202977212 is a wasteful number, since it uses less digits than its factorization.

20892202977212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8427 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 20892202977212 in words is "twenty trillion, eight hundred ninety-two billion, two hundred two million, nine hundred seventy-seven thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1303 1484 2243 2606 4486 4817 5212 8972 9121 9634 15701 18242 19268 31402 33719 36484 62804 67438 69059 118879 134876 138118 237758 255301 276236 475516 483413 510602 832153 966826 1021204 1664306 1787107 1933652 2922629 3328612 3574214 5845258 6276551 7148428 10804531 11690516 12553102 20458403 21609062 25106204 40916806 43218124 43935857 75631717 81833612 87871714 151263434 154899337 175743428 302526868 309798674 332657203 572640143 619597348 665314406 1084295359 1145280286 1330628812 2168590718 2290560572 2328600421 4008481001 4337181436 4657200842 8016962002 9314401684 14078303893 16033924004 28156607786 56313215572 98548127251 197096254502 394192509004 746150106329 1492300212658 2984600425316 5223050744303 10446101488606 20892202977212