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44840670672 = 24372181105331
BaseRepresentation
bin101001110000101101…
…100101010111010000
311021202000122002022110
4221300231211113100
51213313202430142
632333255105320
73145123261200
oct516055452720
9137660562273
1044840670672
1118020431616
128835072240
1342c7bc6a35
142255436400
15127696999c
hexa70b655d0

44840670672 has 120 divisors (see below), whose sum is σ = 135496556832. Its totient is φ = 12740716800.

The previous prime is 44840670631. The next prime is 44840670689. The reversal of 44840670672 is 27607604844.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 373047 + ... + 478377.

Almost surely, 244840670672 is an apocalyptic number.

44840670672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44840670672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67748278416).

44840670672 is an abundant number, since it is smaller than the sum of its proper divisors (90655886160).

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

44840670672 is a wasteful number, since it uses less digits than its factorization.

44840670672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105537 (or 105524 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 44840670672 in words is "forty-four billion, eight hundred forty million, six hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 181 196 294 336 362 392 543 588 724 784 1086 1176 1267 1448 2172 2352 2534 2896 3801 4344 5068 7602 8688 8869 10136 15204 17738 20272 26607 30408 35476 53214 60816 70952 105331 106428 141904 210662 212856 315993 421324 425712 631986 737317 842648 1263972 1474634 1685296 2211951 2527944 2949268 4423902 5055888 5161219 5898536 8847804 10322438 11797072 15483657 17695608 19064911 20644876 30967314 35391216 38129822 41289752 57194733 61934628 76259644 82579504 114389466 123869256 133454377 152519288 228778932 247738512 266908754 305038576 400363131 457557864 533817508 800726262 915115728 934180639 1067635016 1601452524 1868361278 2135270032 2802541917 3202905048 3736722556 5605083834 6405810096 7473445112 11210167668 14946890224 22420335336 44840670672