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4100486016 = 273118291171
BaseRepresentation
bin1111010001101000…
…0111001110000000
3101120202210021100110
43310122013032000
531344211023031
61514515351320
7203420361504
oct36432071600
911522707313
104100486016
111814687920
129652b2540
135046a54b3
142ac830304
1518eec3c46
hexf4687380

4100486016 has 128 divisors (see below), whose sum is σ = 11906582400. Its totient is φ = 1240012800.

The previous prime is 4100486011. The next prime is 4100486041. The reversal of 4100486016 is 6106840014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100486011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3501111 + ... + 3502281.

It is an arithmetic number, because the mean of its divisors is an integer number (93020175).

Almost surely, 24100486016 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 4100486016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953291200).

4100486016 is an abundant number, since it is smaller than the sum of its proper divisors (7806096384).

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

4100486016 is a wasteful number, since it uses less digits than its factorization.

4100486016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4100486016 is about 64035.0374092184. The cubic root of 4100486016 is about 1600.5839035511.

The spelling of 4100486016 in words is "four billion, one hundred million, four hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 829 1056 1171 1408 1658 2112 2342 2487 3316 3513 4224 4684 4974 6632 7026 9119 9368 9948 12881 13264 14052 18238 18736 19896 25762 26528 27357 28104 36476 37472 38643 39792 51524 53056 54714 56208 72952 74944 77286 79584 103048 106112 109428 112416 145904 149888 154572 159168 206096 218856 224832 291808 309144 318336 412192 437712 449664 583616 618288 824384 875424 970759 1167232 1236576 1648768 1750848 1941518 2473152 2912277 3501696 3883036 4946304 5824554 7766072 10678349 11649108 15532144 21356698 23298216 31064288 32035047 42713396 46596432 62128576 64070094 85426792 93192864 124257152 128140188 170853584 186385728 256280376 341707168 372771456 512560752 683414336 1025121504 1366828672 2050243008 4100486016