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4944419648 = 26731734877
BaseRepresentation
bin1001001101011010…
…11101101101000000
3110202120210112122122
410212231131231000
540111232412043
62134344023412
7233345605430
oct44655355500
913676715578
104944419648
112107aa5733
12b5ba61b68
1360a49b4cc
1434c9542c0
151de128368
hex126b5db40

4944419648 has 112 divisors (see below), whose sum is σ = 11735921664. Its totient is φ = 2022174720.

The previous prime is 4944419581. The next prime is 4944419663. The reversal of 4944419648 is 8469144494.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 4944419648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011386 + ... + 1016262.

Almost surely, 24944419648 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 4944419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867960832).

4944419648 is an abundant number, since it is smaller than the sum of its proper divisors (6791502016).

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

4944419648 is a wasteful number, since it uses less digits than its factorization.

4944419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4990 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 53.

The square root of 4944419648 is about 70316.5673792457. The cubic root of 4944419648 is about 1703.6162522008.

The spelling of 4944419648 in words is "four billion, nine hundred forty-four million, four hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 73 112 124 146 217 224 248 292 434 448 496 511 584 868 992 1022 1168 1736 1984 2044 2263 2336 3472 4088 4526 4672 4877 6944 8176 9052 9754 13888 15841 16352 18104 19508 31682 32704 34139 36208 39016 63364 68278 72416 78032 126728 136556 144832 151187 156064 253456 273112 302374 312128 356021 506912 546224 604748 712042 1013824 1058309 1092448 1209496 1424084 2116618 2184896 2418992 2492147 2848168 4233236 4837984 4984294 5696336 8466472 9675968 9968588 11036651 11392672 16932944 19937176 22073302 22785344 33865888 39874352 44146604 67731776 77256557 79748704 88293208 154513114 159497408 176586416 309026228 353172832 618052456 706345664 1236104912 2472209824 4944419648