Search a number
-
+
105430635054156 = 22319827559147601
BaseRepresentation
bin10111111110001101111011…
…100011010000010001001100
3111211022001220020021000121010
4113332031323203100101030
5102304333420033213111
61012122055355005220
731131053264362206
oct2776157343202114
9454261806230533
10105430635054156
1130658976a0a705
12b9a91b6439810
1346aa0b2660809
141c06c27275776
15c2c75d157aa6
hex5fe37b8d044c

105430635054156 has 48 divisors (see below), whose sum is σ = 259265560095360. Its totient is φ = 33253626067200.

The previous prime is 105430635054053. The next prime is 105430635054211. The reversal of 105430635054156 is 651450536034501.

It is a super-2 number, since 2×1054306350541562 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279385245 + ... + 279762356.

It is an arithmetic number, because the mean of its divisors is an integer number (5401365835320).

Almost surely, 2105430635054156 is an apocalyptic number.

It is an amenable number.

105430635054156 is an abundant number, since it is smaller than the sum of its proper divisors (153834925041204).

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

105430635054156 is a wasteful number, since it uses less digits than its factorization.

105430635054156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559148454 (or 559148452 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 105430635054156 in words is "one hundred five trillion, four hundred thirty billion, six hundred thirty-five million, fifty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 827 1654 2481 3308 4962 9924 15713 31426 47139 62852 94278 188556 559147601 1118295202 1677442803 2236590404 3354885606 6709771212 10623804419 21247608838 31871413257 42495217676 63742826514 127485653028 462415066027 924830132054 1387245198081 1849660264108 2774490396162 5548980792324 8785886254513 17571772509026 26357658763539 35143545018052 52715317527078 105430635054156