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145621534336 = 2717497313457
BaseRepresentation
bin1000011110011110111…
…0000100011010000000
3111220212121121102010121
42013213232010122000
54341213103044321
6150521514510024
713343431422145
oct2074756043200
9456777542117
10145621534336
1156837618093
1224280435314
1310969419085
1470960803cc
153bc44eb441
hex21e7b84680

145621534336 has 64 divisors (see below), whose sum is σ = 307255022280. Its totient is φ = 68508909568.

The previous prime is 145621534321. The next prime is 145621534343. The reversal of 145621534336 is 633435126541.

It can be written as a sum of positive squares in 4 ways, for example, as 139021596736 + 6599937600 = 372856^2 + 81240^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 145621534292 and 145621534301.

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, 10814520 + ... + 10827976.

Almost surely, 2145621534336 is an apocalyptic number.

145621534336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145621534336 is an abundant number, since it is smaller than the sum of its proper divisors (161633487944).

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

145621534336 is a wasteful number, since it uses less digits than its factorization.

145621534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18461 (or 18449 counting only the distinct ones).

The product of its digits is 777600, while the sum is 43.

The spelling of 145621534336 in words is "one hundred forty-five billion, six hundred twenty-one million, five hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 4973 9946 13457 19892 26914 39784 53828 79568 84541 107656 159136 169082 215312 228769 318272 338164 430624 457538 636544 676328 861248 915076 1352656 1722496 1830152 2705312 3660304 5410624 7320608 10821248 14641216 29282432 66921661 133843322 267686644 535373288 1070746576 1137668237 2141493152 2275336474 4282986304 4550672948 8565972608 9101345896 18202691792 36405383584 72810767168 145621534336