Search a number
-
+
798214577152 = 21017227201997
BaseRepresentation
bin10111001110110010100…
…10111101110000000000
32211022022221112212021111
423213121102331300000
5101034220412432102
61410410020333104
7111445333646416
oct13473122756000
92738287485244
10798214577152
11288580357123
1210a848544194
135a36b0c1655
142a8c31a52b6
1515b6b6b7cd7
hexb9d94bdc00

798214577152 has 88 divisors (see below), whose sum is σ = 1696962574224. Its totient is φ = 373973778432.

The previous prime is 798214577129. The next prime is 798214577159. The reversal of 798214577152 is 251775412897.

It is a happy number.

It is a super-2 number, since 2×7982145771522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (798214577159) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3850618 + ... + 4052614.

Almost surely, 2798214577152 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 798214577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848481287112).

798214577152 is an abundant number, since it is smaller than the sum of its proper divisors (898747997072).

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

798214577152 is a wasteful number, since it uses less digits than its factorization.

798214577152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202261 (or 202243 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 58.

The spelling of 798214577152 in words is "seven hundred ninety-eight billion, two hundred fourteen million, five hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 227 256 272 454 512 544 908 1024 1088 1816 2176 3632 3859 4352 7264 7718 8704 14528 15436 17408 29056 30872 58112 61744 116224 123488 201997 232448 246976 403994 493952 807988 987904 1615976 1975808 3231952 3433949 3951616 6463904 6867898 12927808 13735796 25855616 27471592 45853319 51711232 54943184 91706638 103422464 109886368 183413276 206844928 219772736 366826552 439545472 733653104 779506423 879090944 1467306208 1559012846 1758181888 2934612416 3118025692 3516363776 5869224832 6236051384 11738449664 12472102768 23476899328 24944205536 46953798656 49888411072 99776822144 199553644288 399107288576 798214577152