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1040664306020 = 2251919132174457
BaseRepresentation
bin11110010010011000110…
…11010010000101100100
310200111010200111012112012
433021030123102011210
5114022240030243040
62114024035413352
7135120426436043
oct17111433220544
93614120435465
101040664306020
11371385963979
12149830454258
1377198b70891
1438522d3a55a
151c10b71e865
hexf24c6d2164

1040664306020 has 96 divisors (see below), whose sum is σ = 2313697720320. Its totient is φ = 392082370560.

The previous prime is 1040664306007. The next prime is 1040664306023. The reversal of 1040664306020 is 206034660401.

It is a super-3 number, since 3×10406643060203 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1040664306023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233487632 + ... + 233492088.

It is an arithmetic number, because the mean of its divisors is an integer number (24101017920).

Almost surely, 21040664306020 is an apocalyptic number.

1040664306020 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 1040664306020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156848860160).

1040664306020 is an abundant number, since it is smaller than the sum of its proper divisors (1273033414300).

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

1040664306020 is a wasteful number, since it uses less digits than its factorization.

1040664306020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7893 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 1040664306020 its reverse (206034660401), we get a palindrome (1246698966421).

The spelling of 1040664306020 in words is "one trillion, forty billion, six hundred sixty-four million, three hundred six thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 191 380 382 764 955 1910 3217 3629 3820 4457 6434 7258 8914 12868 14516 16085 17828 18145 22285 32170 36290 44570 61123 64340 72580 84683 89140 122246 169366 244492 305615 338732 423415 611230 614447 846830 851287 1222460 1228894 1693660 1702574 2457788 3072235 3405148 4256435 6144470 8512870 11674493 12288940 14338169 16174453 17025740 23348986 28676338 32348906 46697972 57352676 58372465 64697812 71690845 80872265 116744930 143381690 161744530 233489860 272425211 286763380 323489060 544850422 1089700844 1362126055 2724252110 2738590279 5448504220 5477180558 10954361116 13692951395 27385902790 52033215301 54771805580 104066430602 208132861204 260166076505 520332153010 1040664306020