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1660601664 = 2632732541
BaseRepresentation
bin110001011111010…
…1100010101000000
311021201201022020100
41202332230111000
511400103223124
6432440242400
756102611161
oct14276542500
94251638210
101660601664
11782403677
123a4170400
13206063847
1411a78b768
159abc01c9
hex62fac540

1660601664 has 126 divisors (see below), whose sum is σ = 4834831326. Its totient is φ = 544942080.

The previous prime is 1660601659. The next prime is 1660601687. The reversal of 1660601664 is 4661060661.

It can be written as a sum of positive squares in 3 ways, for example, as 262440000 + 1398161664 = 16200^2 + 37392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3069234 + ... + 3069774.

Almost surely, 21660601664 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 1660601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417415663).

1660601664 is an abundant number, since it is smaller than the sum of its proper divisors (3174229662).

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

1660601664 is an equidigital number, since it uses as much as digits as its factorization.

1660601664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1660601664 is about 40750.4805370440. The cubic root of 1660601664 is about 1184.1911823005.

The spelling of 1660601664 in words is "one billion, six hundred sixty million, six hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 541 576 584 657 876 1082 1168 1314 1623 1752 2164 2336 2628 3246 3504 4328 4672 4869 5256 5329 6492 7008 8656 9738 10512 10658 12984 14016 15987 17312 19476 21024 21316 25968 31974 34624 38952 39493 42048 42632 47961 51936 63948 77904 78986 85264 95922 103872 118479 127896 155808 157972 170528 191844 236958 255792 311616 315944 341056 355437 383688 473916 511584 631888 710874 767376 947832 1023168 1263776 1421748 1534752 1895664 2527552 2843496 2882989 3069504 3791328 5686992 5765978 7582656 8648967 11373984 11531956 17297934 22747968 23063912 25946901 34595868 46127824 51893802 69191736 92255648 103787604 138383472 184511296 207575208 276766944 415150416 553533888 830300832 1660601664