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146095790436 = 2232229160111069
BaseRepresentation
bin1000100000001111111…
…1001101100101100100
3111222002200000010012100
42020003333031211210
54343201010243221
6151040535452100
713361250505041
oct2100377154544
9458080003170
10146095790436
1156a602a0782
1224393227030
1310a1375949b
1470dd0541c8
153c00e7b926
hex2203fcd964

146095790436 has 72 divisors (see below), whose sum is σ = 371175550200. Its totient is φ = 48451276800.

The previous prime is 146095790429. The next prime is 146095790473. The reversal of 146095790436 is 634097590641.

146095790436 is a `hidden beast` number, since 1 + 4 + 60 + 9 + 579 + 0 + 4 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72705729600 + 73390060836 = 269640^2 + 270906^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13193110 + ... + 13204178.

It is an arithmetic number, because the mean of its divisors is an integer number (5155215975).

Almost surely, 2146095790436 is an apocalyptic number.

It is an amenable number.

146095790436 is an abundant number, since it is smaller than the sum of its proper divisors (225079759764).

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

146095790436 is a wasteful number, since it uses less digits than its factorization.

146095790436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12909 (or 12904 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 146095790436 in words is "one hundred forty-six billion, ninety-five million, seven hundred ninety thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 1601 2061 2748 3202 4122 4803 6404 8244 9606 11069 14409 19212 22138 28818 33207 44276 57636 66414 99621 132828 199242 366629 398484 733258 1099887 1466516 2199774 2534801 3299661 4399548 5069602 6599322 7604403 10139204 13198644 15208806 17721469 22813209 30417612 35442938 45626418 53164407 70885876 91252836 106328814 159493221 212657628 318986442 637972884 4058216401 8116432802 12174649203 16232865604 24349298406 36523947609 48698596812 73047895218 146095790436