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6985894640 = 2453113121503
BaseRepresentation
bin1101000000110010…
…00100101011110000
3200000212012012212112
412200121010223300
5103301342112030
63113111544452
7335055060524
oct64031045360
920025165775
106985894640
112a653a004a
12142b68b128
1387440788a
144a3b27d84
152ad47ea95
hex1a0644af0

6985894640 has 80 divisors (see below), whose sum is σ = 16894918656. Its totient is φ = 2683449600.

The previous prime is 6985894613. The next prime is 6985894661. The reversal of 6985894640 is 464985896.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 6985894640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314129 + ... + 335631.

Almost surely, 26985894640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6985894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8447459328).

6985894640 is an abundant number, since it is smaller than the sum of its proper divisors (9909024016).

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

6985894640 is a wasteful number, since it uses less digits than its factorization.

6985894640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21678 (or 21672 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 59.

The square root of 6985894640 is about 83581.6644964672. The cubic root of 6985894640 is about 1911.6454338644.

The spelling of 6985894640 in words is "six billion, nine hundred eighty-five million, eight hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 131 155 248 262 310 496 524 620 655 1048 1240 1310 2096 2480 2620 4061 5240 8122 10480 16244 20305 21503 32488 40610 43006 64976 81220 86012 107515 162440 172024 215030 324880 344048 430060 666593 860120 1333186 1720240 2666372 2816893 3332965 5332744 5633786 6665930 10665488 11267572 13331860 14084465 22535144 26663720 28168930 45070288 53327440 56337860 87323683 112675720 174647366 225351440 349294732 436618415 698589464 873236830 1397178928 1746473660 3492947320 6985894640