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982216041264 = 243217834834121
BaseRepresentation
bin11100100101100001010…
…00110110001100110000
310110220021022202201100200
432102300220312030300
5112043034301310024
62031120202315200
7130651141411563
oct16226050661460
93426238681320
10982216041264
11349612392537
1213a43a1b8b00
1371812a4ab33
143577a5b64da
151a83a3352c9
hexe4b0a36330

982216041264 has 120 divisors (see below), whose sum is σ = 2945604562992. Its totient is φ = 304433541120.

The previous prime is 982216041203. The next prime is 982216041269. The reversal of 982216041264 is 462140612289.

It is a happy number.

982216041264 is a `hidden beast` number, since 9 + 8 + 2 + 21 + 604 + 12 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (982216041269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2213877 + ... + 2620244.

Almost surely, 2982216041264 is an apocalyptic number.

It is an amenable number.

982216041264 is an abundant number, since it is smaller than the sum of its proper divisors (1963388521728).

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

982216041264 is a wasteful number, since it uses less digits than its factorization.

982216041264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834235 (or 4834226 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 982216041264 in words is "nine hundred eighty-two billion, two hundred sixteen million, forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 83 102 136 144 153 166 204 249 272 306 332 408 498 612 664 747 816 996 1224 1328 1411 1494 1992 2448 2822 2988 3984 4233 5644 5976 8466 11288 11952 12699 16932 22576 25398 33864 50796 67728 101592 203184 4834121 9668242 14502363 19336484 29004726 38672968 43507089 58009452 77345936 82180057 87014178 116018904 164360114 174028356 232037808 246540171 328720228 348056712 401232043 493080342 657440456 696113424 739620513 802464086 986160684 1203696129 1314880912 1479241026 1604928172 1972321368 2407392258 2958482052 3209856344 3611088387 3944642736 4814784516 5916964104 6419712688 6820944731 7222176774 9629569032 11833928208 13641889462 14444353548 19259138064 20462834193 27283778924 28888707096 40925668386 54567557848 57777414192 61388502579 81851336772 109135115696 122777005158 163702673544 245554010316 327405347088 491108020632 982216041264