Search a number
-
+
1611130400068 = 227292179382229
BaseRepresentation
bin10111011100011110110…
…110101110110101000100
312201000121110002101110211
4113130132312232311010
5202344043340300233
63232050523525204
7224254212305020
oct27343666566504
95630543071424
101611130400068
11571305121832
122202b8389804
13b8c0cb79297
1457d9ca23380
152bd988305cd
hex1771edaed44

1611130400068 has 72 divisors (see below), whose sum is σ = 3355857086400. Its totient is φ = 662948474496.

The previous prime is 1611130400053. The next prime is 1611130400071. The reversal of 1611130400068 is 8600040311161.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4023978 + ... + 4406206.

It is an arithmetic number, because the mean of its divisors is an integer number (46609126200).

Almost surely, 21611130400068 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 1611130400068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677928543200).

1611130400068 is an abundant number, since it is smaller than the sum of its proper divisors (1744726686332).

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

1611130400068 is a wasteful number, since it uses less digits than its factorization.

1611130400068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382477 (or 382446 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 1611130400068 in words is "one trillion, six hundred eleven billion, one hundred thirty million, four hundred thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 179 203 358 406 716 812 841 1253 1682 2506 3364 5012 5191 5887 10382 11774 20764 23548 36337 72674 145348 150539 301078 382229 602156 764458 1053773 1528916 2107546 2675603 4215092 5351206 10702412 11084641 22169282 44338564 68418991 77592487 136837982 155184974 273675964 310369948 321454589 478932937 642909178 957865874 1285818356 1915731748 1984150739 2250182123 3968301478 4500364246 7936602956 9000728492 13889055173 27778110346 55556220692 57540371431 115080742862 230161485724 402782600017 805565200034 1611130400068