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65000146432 = 291315436329
BaseRepresentation
bin111100100010010011…
…111000011000000000
320012202222020120011211
4330202103320120000
52031110014141212
645505522415504
74460523062044
oct744223703000
9205688216154
1065000146432
1125625985091
1210720501594
13618b63a610
143208992024
151a566d79a7
hexf224f8600

65000146432 has 80 divisors (see below), whose sum is σ = 139976353440. Its totient is φ = 29975887872.

The previous prime is 65000146397. The next prime is 65000146451. The reversal of 65000146432 is 23464100056.

It is a junction number, because it is equal to n+sod(n) for n = 65000146394 and 65000146403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10267044 + ... + 10273372.

It is an arithmetic number, because the mean of its divisors is an integer number (1749704418).

Almost surely, 265000146432 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 65000146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69988176720).

65000146432 is an abundant number, since it is smaller than the sum of its proper divisors (74976207008).

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

65000146432 is a wasteful number, since it uses less digits than its factorization.

65000146432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 65000146432 its reverse (23464100056), we get a palindrome (88464246488).

The spelling of 65000146432 in words is "sixty-five billion, one hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1543 1664 3086 3328 6172 6329 6656 12344 12658 20059 24688 25316 40118 49376 50632 80236 82277 98752 101264 160472 164554 197504 202528 320944 329108 395008 405056 641888 658216 790016 810112 1283776 1316432 1620224 2567552 2632864 3240448 5135104 5265728 9765647 10270208 10531456 19531294 21062912 39062588 42125824 78125176 126953411 156250352 253906822 312500704 507813644 625001408 1015627288 1250002816 2031254576 2500005632 4062509152 5000011264 8125018304 16250036608 32500073216 65000146432