Search a number
-
+
1656241312400 = 245228327975231
BaseRepresentation
bin11000000110011111101…
…011001101001010010000
312212100001022020011122122
4120012133223031022100
5204113440233444100
63304511115153412
7230442126604613
oct30063753151220
95770038204578
101656241312400
11589454051964
12228ba7a45868
13c024ba51b0c
145a23bcc417a
152d138d7b985
hex1819facd290

1656241312400 has 120 divisors (see below), whose sum is σ = 3995371553664. Its totient is φ = 659793369600.

The previous prime is 1656241312309. The next prime is 1656241312403. The reversal of 1656241312400 is 42131426561.

It is not an unprimeable number, because it can be changed into a prime (1656241312403) 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 23 ways as a sum of consecutive naturals, for example, 316617785 + ... + 316623015.

Almost surely, 21656241312400 is an apocalyptic number.

1656241312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656241312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997685776832).

1656241312400 is an abundant number, since it is smaller than the sum of its proper divisors (2339130241264).

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

1656241312400 is a wasteful number, since it uses less digits than its factorization.

1656241312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 1656241312400 its reverse (42131426561), we get a palindrome (1698372738961).

The spelling of 1656241312400 in words is "one trillion, six hundred fifty-six billion, two hundred forty-one million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 283 400 566 1132 1415 2264 2797 2830 4528 5231 5594 5660 7075 10462 11188 11320 13985 14150 20924 22376 22640 26155 27970 28300 41848 44752 52310 55940 56600 69925 83696 104620 111880 113200 130775 139850 209240 223760 261550 279700 418480 523100 559400 791551 1046200 1118800 1480373 1583102 2092400 2960746 3166204 3957755 5921492 6332408 7401865 7915510 11842984 12664816 14631107 14803730 15831020 19788775 23685968 29262214 29607460 31662040 37009325 39577550 58524428 59214920 63324080 73155535 74018650 79155100 117048856 118429840 146311070 148037300 158310200 234097712 292622140 296074600 316620400 365777675 585244280 592149200 731555350 1170488560 1463110700 2926221400 4140603281 5852442800 8281206562 16562413124 20703016405 33124826248 41406032810 66249652496 82812065620 103515082025 165624131240 207030164050 331248262480 414060328100 828120656200 1656241312400