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2385496984 = 2313171936991
BaseRepresentation
bin1000111000101111…
…1100101110011000
320011020201210200011
42032023330232120
514341141400414
61032413251304
7113054250463
oct21613745630
96136653604
102385496984
111014607212
12566a93b34
132c02ab5a0
14188b662da
15de65ddc4
hex8e2fcb98

2385496984 has 64 divisors (see below), whose sum is σ = 5127373440. Its totient is φ = 1030717440.

The previous prime is 2385496961. The next prime is 2385497017. The reversal of 2385496984 is 4896945832.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 337729 + ... + 344719.

It is an arithmetic number, because the mean of its divisors is an integer number (80115210).

Almost surely, 22385496984 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 2385496984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563686720).

2385496984 is an abundant number, since it is smaller than the sum of its proper divisors (2741876456).

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

2385496984 is a wasteful number, since it uses less digits than its factorization.

2385496984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7216 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 58.

The square root of 2385496984 is about 48841.5497706615. The cubic root of 2385496984 is about 1336.1635614946.

The spelling of 2385496984 in words is "two billion, three hundred eighty-five million, four hundred ninety-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 193 221 386 442 772 884 1544 1768 2509 3281 5018 6562 6991 10036 13124 13982 20072 26248 27964 42653 55928 85306 90883 118847 170612 181766 237694 341224 363532 475388 727064 950776 1349263 1545011 2698526 3090022 5397052 6180044 10794104 12360088 17540419 22937471 35080838 45874942 70161676 91749884 140323352 183499768 298187123 596374246 1192748492 2385496984