Search a number
-
+
1607058498066 = 237195996175449
BaseRepresentation
bin10111011000101100001…
…001101010001000010010
312200122002200002100000120
4113120230021222020102
5202312223433414231
63230134504531110
7224051256563430
oct27305411521022
95618080070016
101607058498066
1156a60569856a
1221b560780a96
13b87113a1408
1457ad3d13d50
152bc0b105d96
hex1762c26a212

1607058498066 has 128 divisors (see below), whose sum is σ = 3880051200000. Its totient is φ = 433483674624.

The previous prime is 1607058498037. The next prime is 1607058498077. The reversal of 1607058498066 is 6608948507061.

It is a super-2 number, since 2×16070584980662 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294924510 + ... + 294929958.

It is an arithmetic number, because the mean of its divisors is an integer number (30312900000).

Almost surely, 21607058498066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1607058498066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940025600000).

1607058498066 is an abundant number, since it is smaller than the sum of its proper divisors (2272992701934).

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

1607058498066 is a wasteful number, since it uses less digits than its factorization.

1607058498066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696.

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 1607058498066 in words is "one trillion, six hundred seven billion, fifty-eight million, four hundred ninety-eight thousand, sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 599 617 798 1198 1234 1797 1851 3594 3702 4193 4319 5449 8386 8638 10898 11381 11723 12579 12957 16347 22762 23446 25158 25914 32694 34143 35169 38143 68286 70338 76286 79667 82061 103531 114429 159334 164122 207062 228858 239001 246183 310593 369583 478002 492366 621186 724717 739166 1108749 1449434 2174151 2217498 2587081 3263951 3362033 4348302 5174162 6527902 6724066 7022077 7761243 9791853 10086099 14044154 15522486 19583706 20172198 21066231 22847657 23534231 42132462 45695314 47068462 49154539 62015069 63878627 68542971 70602693 98309078 124030138 127757254 137085942 141205386 147463617 186045207 191635881 294927234 372090414 383271762 434105483 447150389 868210966 894300778 1302316449 1341451167 2013857767 2604632898 2682902334 4027715534 6041573301 12083146602 14097004369 28194008738 38263297573 42291013107 76526595146 84582026214 114789892719 229579785438 267843083011 535686166022 803529249033 1607058498066