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2642664410430 = 2351131742975879
BaseRepresentation
bin100110011101001011000…
…100101100110100111110
3100100122011211022111221120
4212131023010230310332
5321244134042113210
65342005005411410
7361632454601232
oct46351304546476
910318154274846
102642664410430
11929825190410
123681bab69b66
13162282279645
1491c9710c5c2
1548b1d6d7270
hex2674b12cd3e

2642664410430 has 128 divisors (see below), whose sum is σ = 6943598484480. Its totient is φ = 638367728640.

The previous prime is 2642664410413. The next prime is 2642664410437. The reversal of 2642664410430 is 340144662462.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642664410437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449506231 + ... + 449512109.

It is an arithmetic number, because the mean of its divisors is an integer number (54246863160).

Almost surely, 22642664410430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642664410430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471799242240).

2642664410430 is an abundant number, since it is smaller than the sum of its proper divisors (4300934074050).

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

2642664410430 is a wasteful number, since it uses less digits than its factorization.

2642664410430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514.

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 2642664410430 in words is "two trillion, six hundred forty-two billion, six hundred sixty-four million, four hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 317 330 634 951 1585 1902 3170 3487 4297 4755 5879 6974 8594 9510 10461 11758 12891 17435 17637 20922 21485 25782 29395 34870 35274 42970 47267 52305 58790 64455 64669 88185 94534 104610 128910 129338 141801 176370 194007 236335 283602 323345 388014 472670 646690 709005 970035 1362149 1418010 1863643 1940070 2724298 3727286 4086447 5590929 6810745 8172894 9318215 11181858 13621490 14983639 18636430 20432235 20500073 25262063 27954645 29967278 40864470 41000146 44950917 50524126 55909290 61500219 74918195 75786189 89901834 102500365 123000438 126310315 149836390 151572378 205000730 224754585 252620630 277882693 307501095 378930945 449509170 555765386 615002190 757861890 833648079 1389413465 1667296158 2778826930 4168240395 8008073971 8336480790 16016147942 24024221913 40040369855 48048443826 80080739710 88088813681 120121109565 176177627362 240242219130 264266441043 440444068405 528532882086 880888136810 1321332205215 2642664410430