Search a number
-
+
109271852316 = 223211477974317
BaseRepresentation
bin110010111000100011…
…1000010010100011100
3101110001100021020112100
41211301013002110130
53242242043233231
6122110535005100
710615600263624
oct1456107022434
9343040236470
10109271852316
1142384125a70
1219216b09790
13a3c56b39a3
1454085dd884
152c982151e6
hex19711c251c

109271852316 has 144 divisors (see below), whose sum is σ = 311636183040. Its totient is φ = 31997496960.

The previous prime is 109271852309. The next prime is 109271852321. The reversal of 109271852316 is 613258172901.

109271852316 is a `hidden beast` number, since 10 + 9 + 271 + 8 + 52 + 316 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1433190 + ... + 1507506.

It is an arithmetic number, because the mean of its divisors is an integer number (2164140160).

Almost surely, 2109271852316 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 109271852316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155818091520).

109271852316 is an abundant number, since it is smaller than the sum of its proper divisors (202364330724).

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

109271852316 is a wasteful number, since it uses less digits than its factorization.

109271852316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74464 (or 74459 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 109271852316 in words is "one hundred nine billion, two hundred seventy-one million, eight hundred fifty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 79 94 99 132 141 158 188 198 237 282 316 396 423 474 517 564 711 846 869 948 1034 1422 1551 1692 1738 2068 2607 2844 3102 3476 3713 4653 5214 6204 7426 7821 9306 10428 11139 14852 15642 18612 22278 31284 33417 40843 44556 66834 74317 81686 122529 133668 148634 163372 222951 245058 297268 367587 445902 490116 668853 735174 817487 891804 1337706 1470348 1634974 2452461 2675412 3269948 3492899 4904922 5871043 6985798 7357383 9809844 10478697 11742086 13971596 14714766 17613129 20957394 23484172 29429532 31436091 35226258 38421889 41914788 52839387 62872182 64581473 70452516 76843778 105678774 115265667 125744364 129162946 153687556 193744419 211357548 230531334 258325892 275939021 345797001 387488838 461062668 551878042 581233257 691594002 774977676 827817063 1103756084 1162466514 1383188004 1655634126 2324933028 2483451189 3035329231 3311268252 4966902378 6070658462 9105987693 9933804756 12141316924 18211975386 27317963079 36423950772 54635926158 109271852316