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253244300544 = 28321034310627
BaseRepresentation
bin1110101111011010001…
…0010101110100000000
3220012200000211101210200
43223312202111310000
513122121020104134
6312201104125200
724203426015634
oct3536642256400
9805600741720
10253244300544
1198444895274
12410b7006800
131ab5b26b861
14c38564cdc4
1568c2a68499
hex3af6895d00

253244300544 has 108 divisors (see below), whose sum is σ = 730305060576. Its totient is φ = 84398662656.

The previous prime is 253244300539. The next prime is 253244300599. The reversal of 253244300544 is 445003442352.

253244300544 is a `hidden beast` number, since 2 + 53 + 24 + 43 + 0 + 0 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253244300499 and 253244300508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23824959 + ... + 23835585.

Almost surely, 2253244300544 is an apocalyptic number.

253244300544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253244300544 is an abundant number, since it is smaller than the sum of its proper divisors (477060760032).

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

253244300544 is a wasteful number, since it uses less digits than its factorization.

253244300544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20992 (or 20975 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 253244300544 its reverse (445003442352), we get a palindrome (698247742896).

The spelling of 253244300544 in words is "two hundred fifty-three billion, two hundred forty-four million, three hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 10343 10627 20686 21254 31029 31881 41372 42508 62058 63762 82744 85016 93087 95643 124116 127524 165488 170032 186174 191286 248232 255048 330976 340064 372348 382572 496464 510096 661952 680128 744696 765144 992928 1020192 1323904 1360256 1489392 1530288 1985856 2040384 2647808 2720512 2978784 3060576 3971712 4080768 5957568 6121152 7943424 8161536 11915136 12242304 23830272 24484608 109915061 219830122 329745183 439660244 659490366 879320488 989235549 1318980732 1758640976 1978471098 2637961464 3517281952 3956942196 5275922928 7034563904 7913884392 10551845856 14069127808 15827768784 21103691712 28138255616 31655537568 42207383424 63311075136 84414766848 126622150272 253244300544