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1004932485408 = 25358729036143
BaseRepresentation
bin11101001111110101010…
…01001101000100100000
310120001220110202122102210
432213322221031010200
5112431100204013113
62045354250442120
7132414110120655
oct16477251150440
93501813678383
101004932485408
1135820a20a215
12142919a33340
13739c3148c67
14368d3571c2c
151b2197d36c3
hexe9faa4d120

1004932485408 has 96 divisors (see below), whose sum is σ = 2643782270976. Its totient is φ = 334237223168.

The previous prime is 1004932485397. The next prime is 1004932485439. The reversal of 1004932485408 is 8045842394001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 163586785 + ... + 163592927.

It is an arithmetic number, because the mean of its divisors is an integer number (27539398656).

Almost surely, 21004932485408 is an apocalyptic number.

It is an amenable number.

1004932485408 is an abundant number, since it is smaller than the sum of its proper divisors (1638849785568).

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

1004932485408 is a wasteful number, since it uses less digits than its factorization.

1004932485408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 1004932485408 in words is "one trillion, four billion, nine hundred thirty-two million, four hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 587 1174 1761 2348 2903 3522 4696 5806 6143 7044 8709 9392 11612 12286 14088 17418 18429 18784 23224 24572 28176 34836 36858 46448 49144 56352 69672 73716 92896 98288 139344 147432 196576 278688 294864 589728 1704061 3408122 3605941 5112183 6816244 7211882 10224366 10817823 13632488 14423764 17833129 20448732 21635646 27264976 28847528 35666258 40897464 43271292 53499387 54529952 57695056 71332516 81794928 86542584 106998774 115390112 142665032 163589856 173085168 213997548 285330064 346170336 427995096 570660128 855990192 1711980384 10468046723 20936093446 31404140169 41872186892 62808280338 83744373784 125616560676 167488747568 251233121352 334977495136 502466242704 1004932485408