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495554049936 = 243211253332
BaseRepresentation
bin1110011011000010101…
…00101011011110010000
31202101010000101001022100
413031201110223132100
531104343314044221
61015353203040400
750542201631661
oct7154124533620
91671100331270
10495554049936
11181188384400
1280060070100
1337966019baa
1419db0987368
15cd5566e926
hex736152b790

495554049936 has 135 divisors (see below), whose sum is σ = 1524689106577. Its totient is φ = 150139735680.

The previous prime is 495554049931. The next prime is 495554049953. The reversal of 495554049936 is 639940455594.

The square root of 495554049936 is 703956.

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

495554049936 is a `hidden beast` number, since 4 + 9 + 5 + 554 + 0 + 49 + 9 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 494068410000 + 1485639936 = 702900^2 + 38544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (495554049931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92919526 + ... + 92924858.

Almost surely, 2495554049936 is an apocalyptic number.

495554049936 is the 703956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495554049936

495554049936 is an abundant number, since it is smaller than the sum of its proper divisors (1029135056641).

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

495554049936 is an equidigital number, since it uses as much as digits as its factorization.

495554049936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10702 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 495554049936 in words is "four hundred ninety-five billion, five hundred fifty-four million, forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5333 5808 8712 10666 15999 17424 21332 31998 42664 47997 58663 63996 85328 95994 117326 127992 175989 191988 234652 255984 351978 383976 469304 527967 645293 703956 767952 938608 1055934 1290586 1407912 1935879 2111868 2581172 2815824 3871758 4223736 5162344 5807637 7743516 8447472 10324688 11615274 15487032 23230548 28440889 30974064 46461096 56881778 85322667 92922192 113763556 170645334 227527112 255968001 312849779 341290668 455054224 511936002 625699558 682581336 938549337 1023872004 1251399116 1365162672 1877098674 2047744008 2502798232 2815648011 3441347569 3754197348 4095488016 5005596464 5631296022 6882695138 7508394696 10324042707 11262592044 13765390276 15016789392 20648085414 22525184088 27530780552 30972128121 41296170828 45050368176 55061561104 61944256242 82592341656 123888512484 165184683312 247777024968 495554049936