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3660772016 = 2411612291489
BaseRepresentation
bin1101101000110010…
…1111001010110000
3100110010101111010202
43122030233022300
524444124201031
61403131014332
7156501022466
oct33214571260
910403344122
103660772016
111609457220
12861b9a3a8
1346456a5b5
1426a28c836
151665b82cb
hexda32f2b0

3660772016 has 80 divisors (see below), whose sum is σ = 7904032800. Its totient is φ = 1628467200.

The previous prime is 3660772007. The next prime is 3660772039. The reversal of 3660772016 is 6102770663.

3660772016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2457800 + ... + 2459288.

It is an arithmetic number, because the mean of its divisors is an integer number (98800410).

Almost surely, 23660772016 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 3660772016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952016400).

3660772016 is an abundant number, since it is smaller than the sum of its proper divisors (4243260784).

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

3660772016 is a wasteful number, since it uses less digits than its factorization.

3660772016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 3660772016 is about 60504.3140280096. The cubic root of 3660772016 is about 1541.1948920574.

The spelling of 3660772016 in words is "three billion, six hundred sixty million, seven hundred seventy-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 229 244 458 488 671 916 976 1342 1489 1832 2519 2684 2978 3664 5038 5368 5956 10076 10736 11912 13969 16379 20152 23824 27938 32758 40304 55876 65516 90829 111752 131032 153659 181658 223504 262064 307318 340981 363316 614636 681962 726632 999119 1229272 1363924 1453264 1998238 2458544 2727848 3750791 3996476 5455696 7501582 7992952 15003164 15985904 20799841 30006328 41599682 60012656 83199364 166398728 228798251 332797456 457596502 915193004 1830386008 3660772016