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145746805824 = 2632159072
BaseRepresentation
bin1000011110111100101…
…1111100010001000000
3111221012100022212022100
42013233023330101000
54341442140241244
6150542151510400
713346512260144
oct2075713742100
9457170285270
10145746805824
11568a12aa444
12242b6388400
131098936a509
1470a896d224
153bd04e3b69
hex21ef2fc440

145746805824 has 63 divisors (see below), whose sum is σ = 417783167607. Its totient is φ = 48579214464.

The previous prime is 145746805807. The next prime is 145746805903. The reversal of 145746805824 is 428508647541.

The square root of 145746805824 is 381768.

It is a perfect power (a square), and thus also a powerful number.

145746805824 is a `hidden beast` number, since 1 + 4 + 57 + 4 + 6 + 8 + 0 + 582 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9154479 + ... + 9170385.

Almost surely, 2145746805824 is an apocalyptic number.

145746805824 is the 381768-th square number.

It is an amenable number.

145746805824 is an abundant number, since it is smaller than the sum of its proper divisors (272036361783).

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

145746805824 is an frugal number, since it uses more digits than its factorization.

145746805824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31832 (or 15912 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 145746805824 in words is "one hundred forty-five billion, seven hundred forty-six million, eight hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 15907 31814 47721 63628 95442 127256 143163 190884 254512 286326 381768 509024 572652 763536 1018048 1145304 1527072 2290608 3054144 4581216 9162432 253032649 506065298 759097947 1012130596 1518195894 2024261192 2277293841 3036391788 4048522384 4554587682 6072783576 8097044768 9109175364 12145567152 16194089536 18218350728 24291134304 36436701456 48582268608 72873402912 145746805824